113882334720 has 1440 divisors, whose sum is σ = 484679166048. Its totient is φ = 22708224000.

The previous prime is 113882334701. The next prime is 113882334721. The reversal of 113882334720 is 27433288311.

It is a happy number.

It is a super-2 number, since 2×113882334720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113882334721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1866923490 + ... + 1866923550.

Almost surely, 2^113882334720 is an apocalyptic number.

113882334720 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 113882334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242339583024).

113882334720 is an abundant number, since it is smaller than the sum of its proper divisors (370796831328).

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

113882334720 is a wasteful number, since it uses less digits than its factorization.

113882334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 113882334720 in words is "one hundred thirteen billion, eight hundred eighty-two million, three hundred thirty-four thousand, seven hundred twenty".