1366212976128 has 2880 divisors, whose sum is σ = 6051730164480. Its totient is φ = 289839513600.

The previous prime is 1366212976057. The next prime is 1366212976157. The reversal of 1366212976128 is 8216792126631.

It is a happy number.

1366212976128 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 12 + 9 + 7 + 612 + 8 = 666.

It is a super-2 number, since 2×1366212976128² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10429106623 + ... + 10429106753.

It is an arithmetic number, because the mean of its divisors is an integer number (2101295196).

Almost surely, 2^{1366212976128} is an apocalyptic number.

1366212976128 is a gapful number since it is divisible by the number (18) 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 1366212976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025865082240).

1366212976128 is an abundant number, since it is smaller than the sum of its proper divisors (4685517188352).

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

1366212976128 is a wasteful number, since it uses less digits than its factorization.

1366212976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1366212976128 in words is "one trillion, three hundred sixty-six billion, two hundred twelve million, nine hundred seventy-six thousand, one hundred twenty-eight".