113858334720 has 832 divisors, whose sum is σ = 446513034240. Its totient is φ = 27348959232.

The previous prime is 113858334719. The next prime is 113858334739. The reversal of 113858334720 is 27433858311.

113858334720 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 583 + 3 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337858392 + ... + 337858728.

It is an arithmetic number, because the mean of its divisors is an integer number (536674320).

Almost surely, 2^113858334720 is an apocalyptic number.

113858334720 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 113858334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223256517120).

113858334720 is an abundant number, since it is smaller than the sum of its proper divisors (332654699520).

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

113858334720 is a wasteful number, since it uses less digits than its factorization.

113858334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 113858334720 in words is "one hundred thirteen billion, eight hundred fifty-eight million, three hundred thirty-four thousand, seven hundred twenty".