113849856000 has 624 divisors, whose sum is σ = 424187382528. Its totient is φ = 29343744000.

The previous prime is 113849855989. The next prime is 113849856049. The reversal of 113849856000 is 658948311.

113849856000 is a `hidden beast` number, since 1 + 1 + 3 + 84 + 9 + 8 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×113849856000² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 142847602 + ... + 142848398.

It is an arithmetic number, because the mean of its divisors is an integer number (679787472).

Almost surely, 2^113849856000 is an apocalyptic number.

113849856000 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 113849856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212093691264).

113849856000 is an abundant number, since it is smaller than the sum of its proper divisors (310337526528).

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

113849856000 is an equidigital number, since it uses as much as digits as its factorization.

113849856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 113849856000 in words is "one hundred thirteen billion, eight hundred forty-nine million, eight hundred fifty-six thousand".