114552345600 has 1188 divisors, whose sum is σ = 516109487712. Its totient is φ = 23762534400.

The previous prime is 114552345587. The next prime is 114552345629. The reversal of 114552345600 is 6543255411.

114552345600 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 2 + 3 + 45 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195148507 + ... + 195149093.

Almost surely, 2^114552345600 is an apocalyptic number.

114552345600 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 114552345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258054743856).

114552345600 is an abundant number, since it is smaller than the sum of its proper divisors (401557142112).

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

114552345600 is a wasteful number, since it uses less digits than its factorization.

114552345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 114552345600 in words is "one hundred fourteen billion, five hundred fifty-two million, three hundred forty-five thousand, six hundred".