112156404566400 has 576 divisors, whose sum is σ = 420111475430400. Its totient is φ = 28453005619200.

The previous prime is 112156404566387. The next prime is 112156404566471. The reversal of 112156404566400 is 4665404651211.

112156404566400 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 6 + 40 + 4 + 566 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51610597 + ... + 53739803.

It is an arithmetic number, because the mean of its divisors is an integer number (729360200400).

Almost surely, 2^{112156404566400} is an apocalyptic number.

112156404566400 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 112156404566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210055737715200).

112156404566400 is an abundant number, since it is smaller than the sum of its proper divisors (307955070864000).

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

112156404566400 is a wasteful number, since it uses less digits than its factorization.

112156404566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129327 (or 2129307 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 112156404566400 in words is "one hundred twelve trillion, one hundred fifty-six billion, four hundred four million, five hundred sixty-six thousand, four hundred".