112504269880809 has 81 divisors (see below), whose sum is σ = 165861153973879. Its totient is φ = 73485628272480.

The previous prime is 112504269880799. The next prime is 112504269880829. The reversal of 112504269880809 is 908088962405211.

The square root of 112504269880809 is 10606803.

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

112504269880809 is a `hidden beast` number, since 1 + 1 + 2 + 50 + 426 + 9 + 8 + 80 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102339829179225 + 10164440701584 = 10116315^2 + 3188172^2 .

It is not a de Polignac number, because 112504269880809 - 2⁹ = 112504269880297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112504269880829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 589027590904 + ... + 589027591094.

Almost surely, 2^{112504269880809} is an apocalyptic number.

112504269880809 is the 10606803-rd square number.

112504269880809 is the 5303402-nd centered octagonal number.

It is an amenable number.

112504269880809 is a deficient number, since it is larger than the sum of its proper divisors (53356884093070).

112504269880809 is an frugal number, since it uses more digits than its factorization.

112504269880809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 112504269880809 in words is "one hundred twelve trillion, five hundred four billion, two hundred sixty-nine million, eight hundred eighty thousand, eight hundred nine".