114974913600 has 252 divisors, whose sum is σ = 418153683376. Its totient is φ = 29946792960.

The previous prime is 114974913583. The next prime is 114974913607. The reversal of 114974913600 is 6319479411.

It is a happy number.

114974913600 is a `hidden beast` number, since 1 + 14 + 97 + 491 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114974913607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 526359 + ... + 712041.

Almost surely, 2^114974913600 is an apocalyptic number.

114974913600 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 114974913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209076841688).

114974913600 is an abundant number, since it is smaller than the sum of its proper divisors (303178769776).

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

114974913600 is a wasteful number, since it uses less digits than its factorization.

114974913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185754 (or 185736 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 114974913600 in words is "one hundred fourteen billion, nine hundred seventy-four million, nine hundred thirteen thousand, six hundred".