18966790656 has 960 divisors, whose sum is σ = 70532985600. Its totient is φ = 4995809280.

The previous prime is 18966790643. The next prime is 18966790663. The reversal of 18966790656 is 65609766981.

It is a junction number, because it is equal to n+sod(n) for n = 18966790593 and 18966790602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654027250 + ... + 654027278.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 2^18966790656 is an apocalyptic number.

18966790656 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 18966790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35266492800).

18966790656 is an abundant number, since it is smaller than the sum of its proper divisors (51566194944).

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

18966790656 is a wasteful number, since it uses less digits than its factorization.

18966790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 18966790656 in words is "eighteen billion, nine hundred sixty-six million, seven hundred ninety thousand, six hundred fifty-six".