13956854400 has 144 divisors (see below), whose sum is σ = 49801357710. Its totient is φ = 3721820160.

The previous prime is 13956854383. The next prime is 13956854449. The reversal of 13956854400 is 445865931.

13956854400 is a `hidden beast` number, since 1 + 39 + 568 + 54 + 4 + 0 + 0 = 666.

13956854400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11835699264 + 2121155136 = 108792^2 + 46056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 213507 + ... + 271106.

Almost surely, 2^13956854400 is an apocalyptic number.

13956854400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13956854400 is an abundant number, since it is smaller than the sum of its proper divisors (35844503310).

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

13956854400 is a wasteful number, since it uses less digits than its factorization.

13956854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484643 (or 484623 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13956854400 in words is "thirteen billion, nine hundred fifty-six million, eight hundred fifty-four thousand, four hundred".