18573216768 has 132 divisors (see below), whose sum is σ = 54278137368. Its totient is φ = 6116229120.

The previous prime is 18573216751. The next prime is 18573216769. The reversal of 18573216768 is 86761237581.

It is a happy number.

18573216768 is a `hidden beast` number, since 1 + 8 + 573 + 2 + 1 + 6 + 7 + 68 = 666.

It is a super-2 number, since 2×18573216768² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18573216769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752788 + ... + 777068.

Almost surely, 2^18573216768 is an apocalyptic number.

18573216768 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 18573216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27139068684).

18573216768 is an abundant number, since it is smaller than the sum of its proper divisors (35704920600).

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

18573216768 is a wasteful number, since it uses less digits than its factorization.

18573216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24390 (or 24369 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

It can be divided in two parts, 185732 and 16768, that added together give a square (202500 = 450²).

The spelling of 18573216768 in words is "eighteen billion, five hundred seventy-three million, two hundred sixteen thousand, seven hundred sixty-eight".