1366748038656 has 2400 divisors, whose sum is σ = 5730752833344. Its totient is φ = 315319910400.

The previous prime is 1366748038609. The next prime is 1366748038657. The reversal of 1366748038656 is 6568308476631.

1366748038656 is a `hidden beast` number, since 1 + 3 + 6 + 67 + 480 + 38 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1366748038593 and 1366748038602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366748038657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18722575836 + ... + 18722575908.

Almost surely, 2^{1366748038656} is an apocalyptic number.

1366748038656 is a gapful number since it is divisible by the number (16) 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 1366748038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865376416672).

1366748038656 is an abundant number, since it is smaller than the sum of its proper divisors (4364004794688).

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

1366748038656 is a wasteful number, since it uses less digits than its factorization.

1366748038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 1366748038656 in words is "one trillion, three hundred sixty-six billion, seven hundred forty-eight million, thirty-eight thousand, six hundred fifty-six".