112951112601600 has 4992 divisors, whose sum is σ = 540571401216000. Its totient is φ = 22469463244800.

The previous prime is 112951112601589. The next prime is 112951112601617. The reversal of 112951112601600 is 6106211159211.

It is a happy number.

112951112601600 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 511 + 126 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 758061158326 + ... + 758061158474.

Almost surely, 2^{112951112601600} is an apocalyptic number.

112951112601600 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 112951112601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270285700608000).

112951112601600 is an abundant number, since it is smaller than the sum of its proper divisors (427620288614400).

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

112951112601600 is a wasteful number, since it uses less digits than its factorization.

112951112601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 112951112601600 in words is "one hundred twelve trillion, nine hundred fifty-one billion, one hundred twelve million, six hundred one thousand, six hundred".