114266656 has 96 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 44789760.

The previous prime is 114266629. The next prime is 114266671. The reversal of 114266656 is 656662411.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140491 + ... + 141301.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^114266656 is an apocalyptic number.

114266656 is a gapful number since it is divisible by the number (16) 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 114266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

114266656 is an abundant number, since it is smaller than the sum of its proper divisors (165658976).

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

114266656 is a wasteful number, since it uses less digits than its factorization.

114266656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 114266656 is about 10689.5582696386. The cubic root of 114266656 is about 485.2585237375.

The spelling of 114266656 in words is "one hundred fourteen million, two hundred sixty-six thousand, six hundred fifty-six".