114354864 has 180 divisors, whose sum is σ = 358715136. Its totient is φ = 33965568.

The previous prime is 114354857. The next prime is 114354881. The reversal of 114354864 is 468453411.

114354864 is a `hidden beast` number, since 11 + 43 + 548 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 900369 + ... + 900495.

Almost surely, 2^114354864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179357568).

114354864 is an abundant number, since it is smaller than the sum of its proper divisors (244360272).

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

114354864 is a wasteful number, since it uses less digits than its factorization.

114354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 114354864 is about 10693.6833691671. The cubic root of 114354864 is about 485.3833565219.

The spelling of 114354864 in words is "one hundred fourteen million, three hundred fifty-four thousand, eight hundred sixty-four".