113307828480 has 2016 divisors, whose sum is σ = 540471536640. Its totient is φ = 22036561920.

The previous prime is 113307828463. The next prime is 113307828481. The reversal of 113307828480 is 84828703311.

113307828480 is a `hidden beast` number, since 113 + 30 + 7 + 8 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×113307828480² (a number of 23 digits) contains 22 as substring.

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 (113307828481) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1365154519 + ... + 1365154601.

It is an arithmetic number, because the mean of its divisors is an integer number (268091040).

Almost surely, 2^113307828480 is an apocalyptic number.

113307828480 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 113307828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270235768320).

113307828480 is an abundant number, since it is smaller than the sum of its proper divisors (427163708160).

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

113307828480 is an equidigital number, since it uses as much as digits as its factorization.

113307828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 113307828480 in words is "one hundred thirteen billion, three hundred seven million, eight hundred twenty-eight thousand, four hundred eighty".