114612864 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 34569216.

The previous prime is 114612863. The next prime is 114612877. The reversal of 114612864 is 468216411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114612864² = 26272217188564992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114612863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167467 + ... + 168149.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^114612864 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 114612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

114612864 is an abundant number, since it is smaller than the sum of its proper divisors (220273536).

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

114612864 is a wasteful number, since it uses less digits than its factorization.

114612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 114612864 is about 10705.7397689277. The cubic root of 114612864 is about 485.7481124571.

The spelling of 114612864 in words is "one hundred fourteen million, six hundred twelve thousand, eight hundred sixty-four".