18442008768 has 112 divisors (see below), whose sum is σ = 49274069600. Its totient is φ = 6087204864.

The previous prime is 18442008757. The next prime is 18442008829. The reversal of 18442008768 is 86780024481.

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 15 ways as a sum of consecutive naturals, for example, 10519380 + ... + 10521132.

It is an arithmetic number, because the mean of its divisors is an integer number (439947050).

Almost surely, 2^18442008768 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 18442008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637034800).

18442008768 is an abundant number, since it is smaller than the sum of its proper divisors (30832060832).

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

18442008768 is a wasteful number, since it uses less digits than its factorization.

18442008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 18442008768 in words is "eighteen billion, four hundred forty-two million, eight thousand, seven hundred sixty-eight".