114506315 has 48 divisors (see below), whose sum is σ = 176705280. Its totient is φ = 69182400.

The previous prime is 114506311. The next prime is 114506363. The reversal of 114506315 is 513605411.

It is not a de Polignac number, because 114506315 - 2² = 114506311 is a prime.

It is a super-2 number, since 2×114506315² = 26223392349758450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114506311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612730 + ... + 1612800.

It is an arithmetic number, because the mean of its divisors is an integer number (3681360).

Almost surely, 2^114506315 is an apocalyptic number.

114506315 is a deficient number, since it is larger than the sum of its proper divisors (62198965).

114506315 is an equidigital number, since it uses as much as digits as its factorization.

114506315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 114506315 is about 10700.7623560193. The cubic root of 114506315 is about 485.5975417437.

The spelling of 114506315 in words is "one hundred fourteen million, five hundred six thousand, three hundred fifteen".