114563104 has 48 divisors (see below), whose sum is σ = 237323520. Its totient is φ = 54362880.

The previous prime is 114563093. The next prime is 114563117. The reversal of 114563104 is 401365411.

It is a super-2 number, since 2×114563104² = 26249409596229632, which contains 22 as substring.

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, 51487 + ... + 53665.

It is an arithmetic number, because the mean of its divisors is an integer number (4944240).

Almost surely, 2^114563104 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 114563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661760).

114563104 is an abundant number, since it is smaller than the sum of its proper divisors (122760416).

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

114563104 is a wasteful number, since it uses less digits than its factorization.

114563104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 114563104 is about 10703.4155296335. The cubic root of 114563104 is about 485.6778052680.

The spelling of 114563104 in words is "one hundred fourteen million, five hundred sixty-three thousand, one hundred four".