113457245890560 has 2304 divisors, whose sum is σ = 466039294156800. Its totient is φ = 23269972377600.

The previous prime is 113457245890531. The next prime is 113457245890561. The reversal of 113457245890560 is 65098542754311.

It is a super-2 number, since 2×113457245890560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 113457245890494 and 113457245890503.

It is not an unprimeable number, because it can be changed into a prime (113457245890561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33636893034 + ... + 33636896406.

It is an arithmetic number, because the mean of its divisors is an integer number (202273999200).

It is a 1-persistent number, because it is pandigital, but 2⋅113457245890560 = 226914491781120 is not.

Almost surely, 2^{113457245890560} is an apocalyptic number.

113457245890560 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 113457245890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233019647078400).

113457245890560 is an abundant number, since it is smaller than the sum of its proper divisors (352582048266240).

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

113457245890560 is a wasteful number, since it uses less digits than its factorization.

113457245890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 113457245890560 in words is "one hundred thirteen trillion, four hundred fifty-seven billion, two hundred forty-five million, eight hundred ninety thousand, five hundred sixty".