113329180800 has 864 divisors, whose sum is σ = 470881150740. Its totient is φ = 25844121600.

The previous prime is 113329180799. The next prime is 113329180831. The reversal of 113329180800 is 8081923311.

It can be written as a sum of positive squares in 6 ways, for example, as 80243025984 + 33086154816 = 283272^2 + 181896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59240644 + ... + 59242556.

Almost surely, 2^113329180800 is an apocalyptic number.

113329180800 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 113329180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235440575370).

113329180800 is an abundant number, since it is smaller than the sum of its proper divisors (357551969940).

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

113329180800 is a wasteful number, since it uses less digits than its factorization.

113329180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 113329180800 in words is "one hundred thirteen billion, three hundred twenty-nine million, one hundred eighty thousand, eight hundred".