112557614670400 has 168 divisors, whose sum is σ = 287177310368640. Its totient is φ = 43369659648000.

The previous prime is 112557614670329. The next prime is 112557614670421. The reversal of 112557614670400 is 4076416755211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17184235 + ... + 22812565.

Almost surely, 2^{112557614670400} is an apocalyptic number.

112557614670400 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 112557614670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143588655184320).

112557614670400 is an abundant number, since it is smaller than the sum of its proper divisors (174619695698240).

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

112557614670400 is a wasteful number, since it uses less digits than its factorization.

112557614670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628813 (or 5628798 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 112557614670400 in words is "one hundred twelve trillion, five hundred fifty-seven billion, six hundred fourteen million, six hundred seventy thousand, four hundred".