114809616 has 80 divisors (see below), whose sum is σ = 340216320. Its totient is φ = 37031040.

The previous prime is 114809603. The next prime is 114809623. The reversal of 114809616 is 616908411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9106 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (4252704).

Almost surely, 2^114809616 is an apocalyptic number.

114809616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114809616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170108160).

114809616 is an abundant number, since it is smaller than the sum of its proper divisors (225406704).

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

114809616 is a wasteful number, since it uses less digits than its factorization.

114809616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8621 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114809616 is about 10714.9249180757. The cubic root of 114809616 is about 486.0259093031.

The spelling of 114809616 in words is "one hundred fourteen million, eight hundred nine thousand, six hundred sixteen".