114386976 has 72 divisors (see below), whose sum is σ = 354869424. Its totient is φ = 34661760.

The previous prime is 114386971. The next prime is 114386977. The reversal of 114386976 is 679683411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (114386971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14886 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (4928742).

Almost surely, 2^114386976 is an apocalyptic number.

114386976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114386976 is an abundant number, since it is smaller than the sum of its proper divisors (240482448).

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

114386976 is a wasteful number, since it uses less digits than its factorization.

114386976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36134 (or 36123 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 114386976 is about 10695.1847108874. The cubic root of 114386976 is about 485.4287857851.

The spelling of 114386976 in words is "one hundred fourteen million, three hundred eighty-six thousand, nine hundred seventy-six".