114827624900 has 18 divisors (see below), whose sum is σ = 249175946250. Its totient is φ = 45931049920.

The previous prime is 114827624887. The next prime is 114827624903. The reversal of 114827624900 is 9426728411.

It can be written as a sum of positive squares in 3 ways, for example, as 18259576384 + 96568048516 = 135128^2 + 310754^2 .

It is not an unprimeable number, because it can be changed into a prime (114827624903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574138025 + ... + 574138224.

It is an arithmetic number, because the mean of its divisors is an integer number (13843108125).

Almost surely, 2^114827624900 is an apocalyptic number.

114827624900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114827624900 is an abundant number, since it is smaller than the sum of its proper divisors (134348321350).

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

114827624900 is a wasteful number, since it uses less digits than its factorization.

114827624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148276263 (or 1148276256 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 114827624900 in words is "one hundred fourteen billion, eight hundred twenty-seven million, six hundred twenty-four thousand, nine hundred".