113304821760 has 1120 divisors, whose sum is σ = 455589997632. Its totient is φ = 26754416640.

The previous prime is 113304821759. The next prime is 113304821761. The reversal of 113304821760 is 67128403311.

It is a happy number.

113304821760 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 482 + 176 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113304821759) and next prime (113304821761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113304821761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1595842525 + ... + 1595842595.

Almost surely, 2^113304821760 is an apocalyptic number.

113304821760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113304821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227794998816).

113304821760 is an abundant number, since it is smaller than the sum of its proper divisors (342285175872).

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

113304821760 is an equidigital number, since it uses as much as digits as its factorization.

113304821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 113304821760 in words is "one hundred thirteen billion, three hundred four million, eight hundred twenty-one thousand, seven hundred sixty".