114864957900 has 1152 divisors, whose sum is σ = 491968512000. Its totient is φ = 22548844800.

The previous prime is 114864957839. The next prime is 114864957901. The reversal of 114864957900 is 9759468411.

114864957900 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 64 + 9 + 579 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114864957901) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 319957921 + ... + 319958279.

It is an arithmetic number, because the mean of its divisors is an integer number (427056000).

Almost surely, 2^114864957900 is an apocalyptic number.

114864957900 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 114864957900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245984256000).

114864957900 is an abundant number, since it is smaller than the sum of its proper divisors (377103554100).

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

114864957900 is a wasteful number, since it uses less digits than its factorization.

114864957900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 114864957900 in words is "one hundred fourteen billion, eight hundred sixty-four million, nine hundred fifty-seven thousand, nine hundred".