113976880290 has 288 divisors, whose sum is σ = 388308525696. Its totient is φ = 22632929280.

The previous prime is 113976880261. The next prime is 113976880333. The reversal of 113976880290 is 92088679311.

113976880290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1778505 + ... + 1841475.

It is an arithmetic number, because the mean of its divisors is an integer number (1348293492).

Almost surely, 2^113976880290 is an apocalyptic number.

113976880290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113976880290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194154262848).

113976880290 is an abundant number, since it is smaller than the sum of its proper divisors (274331645406).

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

113976880290 is a wasteful number, since it uses less digits than its factorization.

113976880290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63034 (or 63018 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 113976880290 in words is "one hundred thirteen billion, nine hundred seventy-six million, eight hundred eighty thousand, two hundred ninety".