112546830400 has 63 divisors (see below), whose sum is σ = 276968568109. Its totient is φ = 45013364480.

The previous prime is 112546830377. The next prime is 112546830401. The reversal of 112546830400 is 4038645211.

The square root of 112546830400 is 335480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40516858944 + 72029971456 = 201288^2 + 268384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112546830401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13415007 + ... + 13423393.

Almost surely, 2^112546830400 is an apocalyptic number.

112546830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112546830400 is the 335480-th square number.

It is an amenable number.

112546830400 is an abundant number, since it is smaller than the sum of its proper divisors (164421737709).

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

112546830400 is an frugal number, since it uses more digits than its factorization.

112546830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 112546830400 in words is "one hundred twelve billion, five hundred forty-six million, eight hundred thirty thousand, four hundred".