112764998025 has 81 divisors (see below), whose sum is σ = 205901014293. Its totient is φ = 58994222400.

The previous prime is 112764997991. The next prime is 112764998033. The reversal of 112764998025 is 520899467211.

It is a happy number.

The square root of 112764998025 is 335805.

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

112764998025 is a `hidden beast` number, since 1 + 1 + 2 + 76 + 499 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51941600649 + 60823397376 = 227907^2 + 246624^2 .

It is not a de Polignac number, because 112764998025 - 2¹¹ = 112764995977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 307261392 + ... + 307261758.

Almost surely, 2^112764998025 is an apocalyptic number.

112764998025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112764998025 is the 335805-th square number.

112764998025 is the 167903-rd centered octagonal number.

It is an amenable number.

112764998025 is a deficient number, since it is larger than the sum of its proper divisors (93136016268).

112764998025 is an frugal number, since it uses more digits than its factorization.

112764998025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 112764998025 in words is "one hundred twelve billion, seven hundred sixty-four million, nine hundred ninety-eight thousand, twenty-five".