114099264 has 84 divisors (see below), whose sum is σ = 330127356. Its totient is φ = 37675008.

The previous prime is 114099263. The next prime is 114099287. The reversal of 114099264 is 462990411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 111513600 = 1608^2 + 10560^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114099263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64212 + ... + 65964.

Almost surely, 2^114099264 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 114099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165063678).

114099264 is an abundant number, since it is smaller than the sum of its proper divisors (216028092).

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

114099264 is a wasteful number, since it uses less digits than its factorization.

114099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114099264 is about 10681.7257032747. The cubic root of 114099264 is about 485.0214522697.

The spelling of 114099264 in words is "one hundred fourteen million, ninety-nine thousand, two hundred sixty-four".