114412953600 has 1512 divisors, whose sum is σ = 491742953520. Its totient is φ = 26276659200.

The previous prime is 114412953503. The next prime is 114412953601. The reversal of 114412953600 is 6359214411.

It is a happy number.

114412953600 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 295 + 360 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114412953601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6021734391 + ... + 6021734409.

Almost surely, 2^114412953600 is an apocalyptic number.

114412953600 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 114412953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245871476760).

114412953600 is an abundant number, since it is smaller than the sum of its proper divisors (377329999920).

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

114412953600 is an equidigital number, since it uses as much as digits as its factorization.

114412953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 114412953600 in words is "one hundred fourteen billion, four hundred twelve million, nine hundred fifty-three thousand, six hundred".