113924880000 has 400 divisors, whose sum is σ = 423686728410. Its totient is φ = 30378240000.

The previous prime is 113924879987. The next prime is 113924880059. The reversal of 113924880000 is 88429311.

It can be written as a sum of positive squares in 5 ways, for example, as 42928704 + 113881951296 = 6552^2 + 337464^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6471210 + ... + 6488790.

Almost surely, 2^113924880000 is an apocalyptic number.

113924880000 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 113924880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211843364205).

113924880000 is an abundant number, since it is smaller than the sum of its proper divisors (309761848410).

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

113924880000 is an frugal number, since it uses more digits than its factorization.

113924880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 113924880000 in words is "one hundred thirteen billion, nine hundred twenty-four million, eight hundred eighty thousand".