18681066624 has 256 divisors, whose sum is σ = 59814236160. Its totient is φ = 5095833600.

The previous prime is 18681066583. The next prime is 18681066631. The reversal of 18681066624 is 42666018681.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1645929 + ... + 1657239.

It is an arithmetic number, because the mean of its divisors is an integer number (233649360).

Almost surely, 2^18681066624 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 18681066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29907118080).

18681066624 is an abundant number, since it is smaller than the sum of its proper divisors (41133169536).

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

18681066624 is a wasteful number, since it uses less digits than its factorization.

18681066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11379 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 18681066624 in words is "eighteen billion, six hundred eighty-one million, sixty-six thousand, six hundred twenty-four".