113850289889424 has 640 divisors, whose sum is σ = 399911775436800. Its totient is φ = 30598036001280.

The previous prime is 113850289889383. The next prime is 113850289889461. The reversal of 113850289889424 is 424988982058311.

113850289889424 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 502 + 8 + 9 + 8 + 8 + 94 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97018087 + ... + 98184569.

It is an arithmetic number, because the mean of its divisors is an integer number (624862149120).

Almost surely, 2^{113850289889424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113850289889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199955887718400).

113850289889424 is an abundant number, since it is smaller than the sum of its proper divisors (286061485547376).

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

113850289889424 is a wasteful number, since it uses less digits than its factorization.

113850289889424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166600 (or 1166588 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 113850289889424 in words is "one hundred thirteen trillion, eight hundred fifty billion, two hundred eighty-nine million, eight hundred eighty-nine thousand, four hundred twenty-four".