114414864 has 20 divisors (see below), whose sum is σ = 295571856. Its totient is φ = 38138272.

The previous prime is 114414823. The next prime is 114414869. The reversal of 114414864 is 468414411.

It is a happy number.

It is a super-3 number, since 3×114414864³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (114414869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1191774 + ... + 1191869.

Almost surely, 2^114414864 is an apocalyptic number.

It is an amenable number.

114414864 is an abundant number, since it is smaller than the sum of its proper divisors (181156992).

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

114414864 is a wasteful number, since it uses less digits than its factorization.

114414864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383654 (or 2383648 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 114414864 is about 10696.4883957306. The cubic root of 114414864 is about 485.4682324028.

The spelling of 114414864 in words is "one hundred fourteen million, four hundred fourteen thousand, eight hundred sixty-four".