114257664 has 108 divisors (see below), whose sum is σ = 333372312. Its totient is φ = 37632000.

The previous prime is 114257657. The next prime is 114257681. The reversal of 114257664 is 466752411.

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

It is a congruent number.

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, 232459 + ... + 232949.

Almost surely, 2^114257664 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 114257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166686156).

114257664 is an abundant number, since it is smaller than the sum of its proper divisors (219114648).

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

114257664 is a wasteful number, since it uses less digits than its factorization.

114257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 114257664 is about 10689.1376640026. The cubic root of 114257664 is about 485.2457945674.

It can be divided in two parts, 114257 and 664, that added together give a square (114921 = 339²).

The spelling of 114257664 in words is "one hundred fourteen million, two hundred fifty-seven thousand, six hundred sixty-four".