112735975296 has 512 divisors, whose sum is σ = 376796160000. Its totient is φ = 29137231872.

The previous prime is 112735975291. The next prime is 112735975321. The reversal of 112735975296 is 692579537211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112735975291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152551695 + ... + 152552433.

It is an arithmetic number, because the mean of its divisors is an integer number (735930000).

Almost surely, 2^112735975296 is an apocalyptic number.

112735975296 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 112735975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188398080000).

112735975296 is an abundant number, since it is smaller than the sum of its proper divisors (264060184704).

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

112735975296 is a wasteful number, since it uses less digits than its factorization.

112735975296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 57.

The spelling of 112735975296 in words is "one hundred twelve billion, seven hundred thirty-five million, nine hundred seventy-five thousand, two hundred ninety-six".