113279364900 has 243 divisors, whose sum is σ = 384927816819. Its totient is φ = 27851840640.

The previous prime is 113279364893. The next prime is 113279364907. The reversal of 113279364900 is 9463972311.

The square root of 113279364900 is 336570.

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

113279364900 is a `hidden beast` number, since 1 + 13 + 279 + 364 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113279364893) and next prime (113279364907).

It can be written as a sum of positive squares in 4 ways, for example, as 29197923876 + 84081441024 = 170874^2 + 289968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113279364907) 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, 131261869 + ... + 131262731.

Almost surely, 2^113279364900 is an apocalyptic number.

113279364900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113279364900 is the 336570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113279364900

113279364900 is an abundant number, since it is smaller than the sum of its proper divisors (271648451919).

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

113279364900 is a wasteful number, since it uses less digits than its factorization.

113279364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 113279364900 in words is "one hundred thirteen billion, two hundred seventy-nine million, three hundred sixty-four thousand, nine hundred".