114858616900 has 36 divisors (see below), whose sum is σ = 249261429060. Its totient is φ = 45940086400.

The previous prime is 114858616867. The next prime is 114858616913. The reversal of 114858616900 is 9616858411.

114858616900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 771395076 + 114087221824 = 27774^2 + 337768^2 .

It is a super-2 number, since 2×114858616900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1685490 + ... + 1752310.

It is an arithmetic number, because the mean of its divisors is an integer number (6923928585).

Almost surely, 2^114858616900 is an apocalyptic number.

114858616900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114858616900 is an abundant number, since it is smaller than the sum of its proper divisors (134402812160).

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

114858616900 is a wasteful number, since it uses less digits than its factorization.

114858616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84024 (or 84017 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 114858616900 in words is "one hundred fourteen billion, eight hundred fifty-eight million, six hundred sixteen thousand, nine hundred".