18618192768 has 128 divisors (see below), whose sum is σ = 57586360320. Its totient is φ = 5219076096.

The previous prime is 18618192727. The next prime is 18618192773. The reversal of 18618192768 is 86729181681.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) 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, 77121 + ... + 207807.

It is an arithmetic number, because the mean of its divisors is an integer number (449893440).

Almost surely, 2^18618192768 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 18618192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28793180160).

18618192768 is an abundant number, since it is smaller than the sum of its proper divisors (38968167552).

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

18618192768 is a wasteful number, since it uses less digits than its factorization.

18618192768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130764 (or 130752 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 57.

The spelling of 18618192768 in words is "eighteen billion, six hundred eighteen million, one hundred ninety-two thousand, seven hundred sixty-eight".