13856990716800 has 3072 divisors, whose sum is σ = 64791353088000. Its totient is φ = 2809213747200.

The previous prime is 13856990716799. The next prime is 13856990716837. The reversal of 13856990716800 is 861709965831.

13856990716800 is a `hidden beast` number, since 1 + 3 + 8 + 569 + 9 + 0 + 7 + 1 + 68 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70340054302 + ... + 70340054498.

It is an arithmetic number, because the mean of its divisors is an integer number (21090935250).

Almost surely, 2^{13856990716800} is an apocalyptic number.

13856990716800 is a gapful number since it is divisible by the number (10) 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 13856990716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32395676544000).

13856990716800 is an abundant number, since it is smaller than the sum of its proper divisors (50934362371200).

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

13856990716800 is a wasteful number, since it uses less digits than its factorization.

13856990716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 13856990716800 in words is "thirteen trillion, eight hundred fifty-six billion, nine hundred ninety million, seven hundred sixteen thousand, eight hundred".