112737995374225 has 27 divisors (see below), whose sum is σ = 151376701313169. Its totient is φ = 83252163852000.

The previous prime is 112737995374171. The next prime is 112737995374267. The reversal of 112737995374225 is 522473599737211.

The square root of 112737995374225 is 10617815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29058385079889 + 83679610294336 = 5390583^2 + 9147656^2 .

It is not a de Polignac number, because 112737995374225 - 2³¹ = 112735847890577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 690076300 + ... + 690239650.

Almost surely, 2^{112737995374225} is an apocalyptic number.

112737995374225 is the 10617815-th square number.

112737995374225 is the 5308908-th centered octagonal number.

It is an amenable number.

112737995374225 is a deficient number, since it is larger than the sum of its proper divisors (38638705938944).

112737995374225 is an frugal number, since it uses more digits than its factorization.

112737995374225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326738 (or 163369 counting only the distinct ones).

The product of its digits is 200037600, while the sum is 67.

The spelling of 112737995374225 in words is "one hundred twelve trillion, seven hundred thirty-seven billion, nine hundred ninety-five million, three hundred seventy-four thousand, two hundred twenty-five".