113145369024960 has 168 divisors, whose sum is σ = 389219935584480. Its totient is φ = 30168453777408.

The previous prime is 113145369024959. The next prime is 113145369025057. The reversal of 113145369024960 is 69420963541311.

113145369024960 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 536 + 9 + 0 + 2 + 49 + 60 = 666.

It is a super-3 number, since 3×113145369024960³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 113145369024897 and 113145369024906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21515181 + ... + 26252499.

It is an arithmetic number, because the mean of its divisors is an integer number (2316785330860).

Almost surely, 2^{113145369024960} is an apocalyptic number.

113145369024960 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 113145369024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194609967792240).

113145369024960 is an abundant number, since it is smaller than the sum of its proper divisors (276074566559520).

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

113145369024960 is a wasteful number, since it uses less digits than its factorization.

113145369024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745635 (or 4745622 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 113145369024960 in words is "one hundred thirteen trillion, one hundred forty-five billion, three hundred sixty-nine million, twenty-four thousand, nine hundred sixty".