114556816 has 40 divisors (see below), whose sum is σ = 247778784. Its totient is φ = 50856960.

The previous prime is 114556781. The next prime is 114556817. The reversal of 114556816 is 618655411.

114556816 is a nontrivial binomial coefficient, being equal to C(15137, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114556817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 15136.

Almost surely, 2^114556816 is an apocalyptic number.

114556816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114556816 is the 15136-th triangular number.

114556816 is the 5046-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114556816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123889392).

114556816 is an abundant number, since it is smaller than the sum of its proper divisors (133221968).

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

114556816 is a wasteful number, since it uses less digits than its factorization.

114556816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15199 (or 15193 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 114556816 is about 10703.1217875908. The cubic root of 114556816 is about 485.6689193417.

The spelling of 114556816 in words is "one hundred fourteen million, five hundred fifty-six thousand, eight hundred sixteen".