113859004900 has 81 divisors (see below), whose sum is σ = 253555303323. Its totient is φ = 44378793600.

The previous prime is 113859004873. The next prime is 113859004927. The reversal of 113859004900 is 9400958311.

The square root of 113859004900 is 337430.

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

113859004900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113859004873) and next prime (113859004927).

It can be written as a sum of positive squares in 4 ways, for example, as 47925090724 + 65933914176 = 218918^2 + 256776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138345889 + ... + 138346711.

Almost surely, 2^113859004900 is an apocalyptic number.

113859004900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113859004900 is the 337430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113859004900

113859004900 is an abundant number, since it is smaller than the sum of its proper divisors (139696298423).

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

113859004900 is an frugal number, since it uses more digits than its factorization.

113859004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 113859004900 in words is "one hundred thirteen billion, eight hundred fifty-nine million, four thousand, nine hundred".