113821890625 has 21 divisors (see below), whose sum is σ = 142328275831. Its totient is φ = 91023775000.

The previous prime is 113821890617. The next prime is 113821890647. The reversal of 113821890625 is 526098128311.

The square root of 113821890625 is 337375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 99718903089 + 14102987536 = 315783^2 + 118756^2 .

It is not a de Polignac number, because 113821890625 - 2³ = 113821890617 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 (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 42170526 + ... + 42173224.

Almost surely, 2^113821890625 is an apocalyptic number.

113821890625 is the 337375-th square number.

113821890625 is the 168688-th centered octagonal number.

It is an amenable number.

113821890625 is a deficient number, since it is larger than the sum of its proper divisors (28506385206).

113821890625 is an frugal number, since it uses more digits than its factorization.

113821890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 113821890625 in words is "one hundred thirteen billion, eight hundred twenty-one million, eight hundred ninety thousand, six hundred twenty-five".