112630101696 has 336 divisors, whose sum is σ = 385885029600. Its totient is φ = 32120395776.

The previous prime is 112630101679. The next prime is 112630101733. The reversal of 112630101696 is 696101036211.

112630101696 is a `hidden beast` number, since 1 + 1 + 2 + 630 + 1 + 0 + 16 + 9 + 6 = 666.

112630101696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112630101696.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67482750 + ... + 67484418.

It is an arithmetic number, because the mean of its divisors is an integer number (1148467350).

Almost surely, 2^112630101696 is an apocalyptic number.

112630101696 is a gapful number since it is divisible by the number (16) 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 112630101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192942514800).

112630101696 is an abundant number, since it is smaller than the sum of its proper divisors (273254927904).

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

112630101696 is a wasteful number, since it uses less digits than its factorization.

112630101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 112630101696 in words is "one hundred twelve billion, six hundred thirty million, one hundred one thousand, six hundred ninety-six".