18661482624 has 256 divisors, whose sum is σ = 56548800000. Its totient is φ = 5415911424.

The previous prime is 18661482613. The next prime is 18661482701. The reversal of 18661482624 is 42628416681.

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

It is a nude number because it is divisible by every one of its digits.

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, 5331627 + ... + 5335125.

It is an arithmetic number, because the mean of its divisors is an integer number (220893750).

Almost surely, 2^18661482624 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 18661482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400000).

18661482624 is an abundant number, since it is smaller than the sum of its proper divisors (37887317376).

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

18661482624 is a wasteful number, since it uses less digits than its factorization.

18661482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3583 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 18661482624 in words is "eighteen billion, six hundred sixty-one million, four hundred eighty-two thousand, six hundred twenty-four".