18231614016 has 336 divisors, whose sum is σ = 61488645120. Its totient is φ = 4665830400.

The previous prime is 18231614003. The next prime is 18231614029. The reversal of 18231614016 is 61041613281.

It is an interprime number because it is at equal distance from previous prime (18231614003) and next prime (18231614029).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11545515 + ... + 11547093.

It is an arithmetic number, because the mean of its divisors is an integer number (183001920).

Almost surely, 2^18231614016 is an apocalyptic number.

18231614016 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 18231614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744322560).

18231614016 is an abundant number, since it is smaller than the sum of its proper divisors (43257031104).

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

18231614016 is a wasteful number, since it uses less digits than its factorization.

18231614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1673 counting only the distinct ones).

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

The spelling of 18231614016 in words is "eighteen billion, two hundred thirty-one million, six hundred fourteen thousand, sixteen".