112976654400 has 189 divisors, whose sum is σ = 401689113943. Its totient is φ = 30116352000.

The previous prime is 112976654393. The next prime is 112976654411. The reversal of 112976654400 is 4456679211.

The square root of 112976654400 is 336120.

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

112976654400 is a `hidden beast` number, since 1 + 12 + 97 + 6 + 6 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1943751744 + 111032902656 = 44088^2 + 333216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40333000 + ... + 40335800.

Almost surely, 2^112976654400 is an apocalyptic number.

112976654400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112976654400 is the 336120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112976654400

112976654400 is an abundant number, since it is smaller than the sum of its proper divisors (288712459543).

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

112976654400 is an frugal number, since it uses more digits than its factorization.

112976654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 112976 and 654400, that added together give a square (767376 = 876²).

The spelling of 112976654400 in words is "one hundred twelve billion, nine hundred seventy-six million, six hundred fifty-four thousand, four hundred".