112947319296 has 640 divisors, whose sum is σ = 395346124800. Its totient is φ = 31173672960.

The previous prime is 112947319271. The next prime is 112947319327. The reversal of 112947319296 is 692913749211.

112947319296 is a `hidden beast` number, since 11 + 29 + 4 + 7 + 319 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416779641 + ... + 416779911.

It is an arithmetic number, because the mean of its divisors is an integer number (617728320).

Almost surely, 2^112947319296 is an apocalyptic number.

112947319296 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 112947319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197673062400).

112947319296 is an abundant number, since it is smaller than the sum of its proper divisors (282398805504).

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

112947319296 is an equidigital number, since it uses as much as digits as its factorization.

112947319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 112947319296 in words is "one hundred twelve billion, nine hundred forty-seven million, three hundred nineteen thousand, two hundred ninety-six".