114812545600 has 189 divisors, whose sum is σ = 290709068187. Its totient is φ = 44629294080.

The previous prime is 114812545571. The next prime is 114812545637. The reversal of 114812545600 is 6545218411.

The square root of 114812545600 is 338840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26475194944 + 88337350656 = 162712^2 + 297216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114812545600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 582804702 + ... + 582804898.

Almost surely, 2^114812545600 is an apocalyptic number.

114812545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114812545600 is the 338840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114812545600

114812545600 is an abundant number, since it is smaller than the sum of its proper divisors (175896522587).

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

114812545600 is an frugal number, since it uses more digits than its factorization.

114812545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 114812545600 in words is "one hundred fourteen billion, eight hundred twelve million, five hundred forty-five thousand, six hundred".