113909945760 has 768 divisors, whose sum is σ = 447586352640. Its totient is φ = 26873856000.

The previous prime is 113909945753. The next prime is 113909945783. The reversal of 113909945760 is 67549909311.

113909945760 is a `hidden beast` number, since 1 + 13 + 90 + 99 + 457 + 6 + 0 = 666.

It is a super-2 number, since 2×113909945760² (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 = 113909945697 and 113909945706.

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, 140455755 + ... + 140456565.

It is an arithmetic number, because the mean of its divisors is an integer number (582794730).

Almost surely, 2^113909945760 is an apocalyptic number.

113909945760 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 113909945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223793176320).

113909945760 is an abundant number, since it is smaller than the sum of its proper divisors (333676406880).

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

113909945760 is a wasteful number, since it uses less digits than its factorization.

113909945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 113909945760 in words is "one hundred thirteen billion, nine hundred nine million, nine hundred forty-five thousand, seven hundred sixty".