114986816 has 112 divisors (see below), whose sum is σ = 274661376. Its totient is φ = 46738944.

The previous prime is 114986813. The next prime is 114986819. The reversal of 114986816 is 618689411.

It is an interprime number because it is at equal distance from previous prime (114986813) and next prime (114986819).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114986813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905345 + ... + 905471.

Almost surely, 2^114986816 is an apocalyptic number.

114986816 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 114986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137330688).

114986816 is an abundant number, since it is smaller than the sum of its proper divisors (159674560).

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

114986816 is a wasteful number, since it uses less digits than its factorization.

114986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 114986816 is about 10723.1905699750. The cubic root of 114986816 is about 486.2758289049.

The spelling of 114986816 in words is "one hundred fourteen million, nine hundred eighty-six thousand, eight hundred sixteen".