112318976 has 180 divisors, whose sum is σ = 294703794. Its totient is φ = 42577920.

The previous prime is 112318951. The next prime is 112318981. The reversal of 112318976 is 679813211.

It can be written as a sum of positive squares in only one way, i.e., 74373376 + 37945600 = 8624^2 + 6160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3035630 + ... + 3035666.

Almost surely, 2^112318976 is an apocalyptic number.

112318976 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 112318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147351897).

112318976 is an abundant number, since it is smaller than the sum of its proper divisors (182384818).

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

112318976 is an equidigital number, since it uses as much as digits as its factorization.

112318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 112318976 is about 10598.0647289965. The cubic root of 112318976 is about 482.4856247787.

The spelling of 112318976 in words is "one hundred twelve million, three hundred eighteen thousand, nine hundred seventy-six".