112104459264 has 352 divisors, whose sum is σ = 358070017536. Its totient is φ = 30511595520.

The previous prime is 112104459253. The next prime is 112104459283. The reversal of 112104459264 is 462954401211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37910074 + ... + 37913030.

It is an arithmetic number, because the mean of its divisors is an integer number (1017244368).

Almost surely, 2^112104459264 is an apocalyptic number.

112104459264 is a gapful number since it is divisible by the number (14) 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 112104459264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179035008768).

112104459264 is an abundant number, since it is smaller than the sum of its proper divisors (245965558272).

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

112104459264 is a wasteful number, since it uses less digits than its factorization.

112104459264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 112104459264 in words is "one hundred twelve billion, one hundred four million, four hundred fifty-nine thousand, two hundred sixty-four".