113489917200 has 1080 divisors, whose sum is σ = 454445767776. Its totient is φ = 26185420800.

The previous prime is 113489917199. The next prime is 113489917217. The reversal of 113489917200 is 2719984311.

113489917200 is a `hidden beast` number, since 1 + 1 + 348 + 99 + 17 + 200 = 666.

It is a super-2 number, since 2×113489917200² (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 an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1367348359 + ... + 1367348441.

Almost surely, 2^113489917200 is an apocalyptic number.

113489917200 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 113489917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227222883888).

113489917200 is an abundant number, since it is smaller than the sum of its proper divisors (340955850576).

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

113489917200 is a wasteful number, since it uses less digits than its factorization.

113489917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 113489917200 in words is "one hundred thirteen billion, four hundred eighty-nine million, nine hundred seventeen thousand, two hundred".