113850882600 has 576 divisors, whose sum is σ = 447243249600. Its totient is φ = 23744286720.

The previous prime is 113850882599. The next prime is 113850882647. The reversal of 113850882600 is 6288058311.

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

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 143 ways as a sum of consecutive naturals, for example, 34014127 + ... + 34017473.

It is an arithmetic number, because the mean of its divisors is an integer number (776463975).

Almost surely, 2^113850882600 is an apocalyptic number.

113850882600 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 113850882600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223621624800).

113850882600 is an abundant number, since it is smaller than the sum of its proper divisors (333392367000).

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

113850882600 is a wasteful number, since it uses less digits than its factorization.

113850882600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 113850882600 in words is "one hundred thirteen billion, eight hundred fifty million, eight hundred eighty-two thousand, six hundred".