1366948266912 has 288 divisors, whose sum is σ = 4185647706240. Its totient is φ = 422093168640.

The previous prime is 1366948266907. The next prime is 1366948266917. The reversal of 1366948266912 is 2196628496631.

1366948266912 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 9 + 482 + 66 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1366948266907) and next prime (1366948266917).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1366948266912³ (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1366948266912.

It is not an unprimeable number, because it can be changed into a prime (1366948266917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37188639 + ... + 37225377.

It is an arithmetic number, because the mean of its divisors is an integer number (14533498980).

Almost surely, 2^{1366948266912} is an apocalyptic number.

1366948266912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366948266912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092823853120).

1366948266912 is an abundant number, since it is smaller than the sum of its proper divisors (2818699439328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1366948266912 is a wasteful number, since it uses less digits than its factorization.

1366948266912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36956 (or 36945 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 1366948266912 in words is "one trillion, three hundred sixty-six billion, nine hundred forty-eight million, two hundred sixty-six thousand, nine hundred twelve".