112524296976 has 360 divisors, whose sum is σ = 397200749400. Its totient is φ = 29473984512.

The previous prime is 112524296971. The next prime is 112524296987. The reversal of 112524296976 is 679692425211.

It is a happy number.

112524296976 is a `hidden beast` number, since 1 + 1 + 2 + 524 + 29 + 6 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3822206976 + 108702090000 = 61824^2 + 329700^2 .

It is not an unprimeable number, because it can be changed into a prime (112524296971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13663356 + ... + 13671588.

It is an arithmetic number, because the mean of its divisors is an integer number (1103335415).

Almost surely, 2^112524296976 is an apocalyptic number.

112524296976 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 112524296976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198600374700).

112524296976 is an abundant number, since it is smaller than the sum of its proper divisors (284676452424).

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

112524296976 is a wasteful number, since it uses less digits than its factorization.

112524296976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8407 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 112524296976 in words is "one hundred twelve billion, five hundred twenty-four million, two hundred ninety-six thousand, nine hundred seventy-six".