18668675743008 has 96 divisors (see below), whose sum is σ = 49551508036800. Its totient is φ = 6153896832000.

The previous prime is 18668675742973. The next prime is 18668675743013. The reversal of 18668675743008 is 80034757686681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 372258 + ... + 6121758.

It is an arithmetic number, because the mean of its divisors is an integer number (516161542050).

Almost surely, 2^{18668675743008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18668675743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775754018400).

18668675743008 is an abundant number, since it is smaller than the sum of its proper divisors (30882832293792).

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

18668675743008 is a wasteful number, since it uses less digits than its factorization.

18668675743008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749890 (or 5749882 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 18668675743008 in words is "eighteen trillion, six hundred sixty-eight billion, six hundred seventy-five million, seven hundred forty-three thousand, eight".