18013516416 has 144 divisors (see below), whose sum is σ = 60298941690. Its totient is φ = 5146702848.

The previous prime is 18013516379. The next prime is 18013516459. The reversal of 18013516416 is 61461531081.

It is a happy number.

18013516416 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 3 + 5 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17928138816 + 85377600 = 133896^2 + 9240^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 103111 + ... + 216006.

Almost surely, 2^18013516416 is an apocalyptic number.

18013516416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18013516416 is an abundant number, since it is smaller than the sum of its proper divisors (42285425274).

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

18013516416 is a wasteful number, since it uses less digits than its factorization.

18013516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319151 (or 319129 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18013516416 in words is "eighteen billion, thirteen million, five hundred sixteen thousand, four hundred sixteen".