18966764544 has 528 divisors, whose sum is σ = 66457214208. Its totient is φ = 4692639744.

The previous prime is 18966764473. The next prime is 18966764591. The reversal of 18966764544 is 44546766981.

It is a happy number.

It is a congruent number.

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, 61780839 + ... + 61781145.

It is an arithmetic number, because the mean of its divisors is an integer number (125865936).

Almost surely, 2^18966764544 is an apocalyptic number.

18966764544 is a gapful number since it is divisible by the number (14) 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 18966764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33228607104).

18966764544 is an abundant number, since it is smaller than the sum of its proper divisors (47490449664).

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

18966764544 is a wasteful number, since it uses less digits than its factorization.

18966764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 18966764544 in words is "eighteen billion, nine hundred sixty-six million, seven hundred sixty-four thousand, five hundred forty-four".