112460963904 has 189 divisors, whose sum is σ = 328101375927. Its totient is φ = 36829698048.

The previous prime is 112460963891. The next prime is 112460963929. The reversal of 112460963904 is 409369064211.

The square root of 112460963904 is 335352.

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

112460963904 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 6 + 0 + 9 + 639 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30234254400 + 82226709504 = 173880^2 + 286752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112460963904.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 716311794 + ... + 716311950.

Almost surely, 2^112460963904 is an apocalyptic number.

112460963904 is the 335352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112460963904

112460963904 is an abundant number, since it is smaller than the sum of its proper divisors (215640412023).

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

112460963904 is an frugal number, since it uses more digits than its factorization.

112460963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 112460963904 in words is "one hundred twelve billion, four hundred sixty million, nine hundred sixty-three thousand, nine hundred four".