18177745664 has 288 divisors, whose sum is σ = 44503603200. Its totient is φ = 7323402240.

The previous prime is 18177745661. The next prime is 18177745699. The reversal of 18177745664 is 46654777181.

It is not an unprimeable number, because it can be changed into a prime (18177745661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42175529 + ... + 42175959.

It is an arithmetic number, because the mean of its divisors is an integer number (154526400).

Almost surely, 2^18177745664 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 18177745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251801600).

18177745664 is an abundant number, since it is smaller than the sum of its proper divisors (26325857536).

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

18177745664 is a wasteful number, since it uses less digits than its factorization.

18177745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 56.

The spelling of 18177745664 in words is "eighteen billion, one hundred seventy-seven million, seven hundred forty-five thousand, six hundred sixty-four".