18064891772928 has 3264 divisors, whose sum is σ = 77115549450240. Its totient is φ = 4102343884800.

The previous prime is 18064891772887. The next prime is 18064891772929. The reversal of 18064891772928 is 82927719846081.

18064891772928 is a `hidden beast` number, since 180 + 6 + 4 + 8 + 91 + 77 + 292 + 8 = 666.

It is a super-2 number, since 2×18064891772928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18064891772929) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384359399401 + ... + 384359399447.

Almost surely, 2^{18064891772928} is an apocalyptic number.

18064891772928 is a gapful number since it is divisible by the number (18) 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 18064891772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38557774725120).

18064891772928 is an abundant number, since it is smaller than the sum of its proper divisors (59050657677312).

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

18064891772928 is a wasteful number, since it uses less digits than its factorization.

18064891772928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 18064891772928 in words is "eighteen trillion, sixty-four billion, eight hundred ninety-one million, seven hundred seventy-two thousand, nine hundred twenty-eight".