112814496 has 36 divisors (see below), whose sum is σ = 320817042. Its totient is φ = 37604736.

The previous prime is 112814491. The next prime is 112814497. The reversal of 112814496 is 694418211.

It can be written as a sum of positive squares in only one way, i.e., 91470096 + 21344400 = 9564^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112814496² = 25454221015468032, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 112814496.

It is not an unprimeable number, because it can be changed into a prime (112814491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195571 + ... + 196146.

Almost surely, 2^112814496 is an apocalyptic number.

112814496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112814496 is an abundant number, since it is smaller than the sum of its proper divisors (208002546).

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

112814496 is a wasteful number, since it uses less digits than its factorization.

112814496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391733 (or 391722 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 112814496 is about 10621.4168546386. The cubic root of 112814496 is about 483.1941145870.

The spelling of 112814496 in words is "one hundred twelve million, eight hundred fourteen thousand, four hundred ninety-six".