18766235808768 has 352 divisors, whose sum is σ = 59097128172544. Its totient is φ = 5183073681408.

The previous prime is 18766235808647. The next prime is 18766235808773. The reversal of 18766235808768 is 86780853266781.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18766235808768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89588571 + ... + 89797797.

It is an arithmetic number, because the mean of its divisors is an integer number (167889568672).

Almost surely, 2^{18766235808768} 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 18766235808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548564086272).

18766235808768 is an abundant number, since it is smaller than the sum of its proper divisors (40330892363776).

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

18766235808768 is a wasteful number, since it uses less digits than its factorization.

18766235808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209397 (or 209379 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 18766235808768 in words is "eighteen trillion, seven hundred sixty-six billion, two hundred thirty-five million, eight hundred eight thousand, seven hundred sixty-eight".