113958804960 has 2304 divisors, whose sum is σ = 572938168320. Its totient is φ = 20424130560.

The previous prime is 113958804919. The next prime is 113958805003. The reversal of 113958804960 is 69408859311.

113958804960 is a `hidden beast` number, since 1 + 13 + 9 + 588 + 0 + 49 + 6 + 0 = 666.

It is a super-2 number, since 2×113958804960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113958804897 and 113958804906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1561079484 + ... + 1561079556.

It is an arithmetic number, because the mean of its divisors is an integer number (248671080).

Almost surely, 2^113958804960 is an apocalyptic number.

113958804960 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 113958804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286469084160).

113958804960 is an abundant number, since it is smaller than the sum of its proper divisors (458979363360).

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

113958804960 is a wasteful number, since it uses less digits than its factorization.

113958804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 113958804960 in words is "one hundred thirteen billion, nine hundred fifty-eight million, eight hundred four thousand, nine hundred sixty".