114318864 has 165 divisors, whose sum is σ = 365186479. Its totient is φ = 34642080.

The previous prime is 114318857. The next prime is 114318959. The reversal of 114318864 is 468813411.

It is a happy number.

The square root of 114318864 is 10692.

It is a perfect power (a square), and thus also a powerful number.

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.

It is a Duffinian number.

Its product of digits (18432) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 10392619 + ... + 10392629.

Almost surely, 2^114318864 is an apocalyptic number.

114318864 is the 10692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114318864

114318864 is an abundant number, since it is smaller than the sum of its proper divisors (250867615).

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

114318864 is an frugal number, since it uses more digits than its factorization.

114318864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 16 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The cubic root of 114318864 is about 485.3324167421.

Multiplying 114318864 by its sum of digits (36), we get a square (4115479104 = 64152²).

114318864 divided by its sum of digits (36) gives a square (3175524 = 1782²).

The spelling of 114318864 in words is "one hundred fourteen million, three hundred eighteen thousand, eight hundred sixty-four".