114891264 has 80 divisors (see below), whose sum is σ = 340127040. Its totient is φ = 38292480.

The previous prime is 114891241. The next prime is 114891311. The reversal of 114891264 is 462198411.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9669 + ... + 17979.

It is an arithmetic number, because the mean of its divisors is an integer number (4251588).

Almost surely, 2^114891264 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 114891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170063520).

114891264 is an abundant number, since it is smaller than the sum of its proper divisors (225235776).

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

114891264 is an frugal number, since it uses more digits than its factorization.

114891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8316 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114891264 is about 10718.7342536327. The cubic root of 114891264 is about 486.1410960547.

The spelling of 114891264 in words is "one hundred fourteen million, eight hundred ninety-one thousand, two hundred sixty-four".