113999736480 has 192 divisors, whose sum is σ = 411642943488. Its totient is φ = 25978106880.

The previous prime is 113999736449. The next prime is 113999736491. The reversal of 113999736480 is 84637999311.

113999736480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060909 + ... + 1163411.

It is an arithmetic number, because the mean of its divisors is an integer number (2143973664).

Almost surely, 2^113999736480 is an apocalyptic number.

113999736480 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 113999736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205821471744).

113999736480 is an abundant number, since it is smaller than the sum of its proper divisors (297643207008).

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

113999736480 is a wasteful number, since it uses less digits than its factorization.

113999736480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102859 (or 102851 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 113999736480 in words is "one hundred thirteen billion, nine hundred ninety-nine million, seven hundred thirty-six thousand, four hundred eighty".