113854235040 has 960 divisors, whose sum is σ = 520666755840. Its totient is φ = 22753198080.

The previous prime is 113854235039. The next prime is 113854235111. The reversal of 113854235040 is 40532458311.

113854235040 is a `hidden beast` number, since 1 + 1 + 385 + 4 + 235 + 0 + 40 = 666.

113854235040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 113854234986 and 113854235004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22405300 + ... + 22410380.

It is an arithmetic number, because the mean of its divisors is an integer number (542361204).

Almost surely, 2^113854235040 is an apocalyptic number.

113854235040 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 113854235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260333377920).

113854235040 is an abundant number, since it is smaller than the sum of its proper divisors (406812520800).

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

113854235040 is a wasteful number, since it uses less digits than its factorization.

113854235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 113854235040 in words is "one hundred thirteen billion, eight hundred fifty-four million, two hundred thirty-five thousand, forty".