114036816 has 160 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 33546240.

The previous prime is 114036779. The next prime is 114036823. The reversal of 114036816 is 618630411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443465 + ... + 1443543.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^114036816 is an apocalyptic number.

114036816 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 114036816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

114036816 is an abundant number, since it is smaller than the sum of its proper divisors (218084784).

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

114036816 is a wasteful number, since it uses less digits than its factorization.

114036816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 114036816 is about 10678.8021800200. The cubic root of 114036816 is about 484.9329499544.

The spelling of 114036816 in words is "one hundred fourteen million, thirty-six thousand, eight hundred sixteen".