114660816 has 80 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 36720000.

The previous prime is 114660803. The next prime is 114660829. The reversal of 114660816 is 618066411.

It is an interprime number because it is at equal distance from previous prime (114660803) and next prime (114660829).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 373335 + ... + 373641.

Almost surely, 2^114660816 is an apocalyptic number.

114660816 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 114660816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

114660816 is an abundant number, since it is smaller than the sum of its proper divisors (193319472).

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

114660816 is a wasteful number, since it uses less digits than its factorization.

114660816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 114660816 is about 10707.9790810405. The cubic root of 114660816 is about 485.8158458250.

The spelling of 114660816 in words is "one hundred fourteen million, six hundred sixty thousand, eight hundred sixteen".