18768012294528 has 672 divisors, whose sum is σ = 65413141789320. Its totient is φ = 5345657856000.

The previous prime is 18768012294469. The next prime is 18768012294533. The reversal of 18768012294528 is 82549221086781.

18768012294528 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 8 + 0 + 12 + 2 + 94 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1513421128 + ... + 1513433528.

Almost surely, 2^{18768012294528} is an apocalyptic number.

18768012294528 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 18768012294528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32706570894660).

18768012294528 is an abundant number, since it is smaller than the sum of its proper divisors (46645129494792).

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

18768012294528 is an equidigital number, since it uses as much as digits as its factorization.

18768012294528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 18768012294528 in words is "eighteen trillion, seven hundred sixty-eight billion, twelve million, two hundred ninety-four thousand, five hundred twenty-eight".