18026342560512 has 1152 divisors, whose sum is σ = 64950536448000. Its totient is φ = 4856112414720.

The previous prime is 18026342560427. The next prime is 18026342560547. The reversal of 18026342560512 is 21506524362081.

18026342560512 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 6 + 3 + 4 + 25 + 605 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×18026342560512² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20322820933 + ... + 20322821819.

It is an arithmetic number, because the mean of its divisors is an integer number (56380674000).

Almost surely, 2^{18026342560512} is an apocalyptic number.

18026342560512 is a gapful number since it is divisible by the number (12) 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 18026342560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32475268224000).

18026342560512 is an abundant number, since it is smaller than the sum of its proper divisors (46924193887488).

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

18026342560512 is a wasteful number, since it uses less digits than its factorization.

18026342560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 18026342560512 in words is "eighteen trillion, twenty-six billion, three hundred forty-two million, five hundred sixty thousand, five hundred twelve".