18261826438752 has 360 divisors, whose sum is σ = 58180245354000. Its totient is φ = 5616745804800.

The previous prime is 18261826438729. The next prime is 18261826438763. The reversal of 18261826438752 is 25783462816281.

18261826438752 is a `hidden beast` number, since 1 + 8 + 2 + 618 + 2 + 6 + 4 + 3 + 8 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18261826438752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1313699002 + ... + 1313712902.

It is an arithmetic number, because the mean of its divisors is an integer number (161611792650).

Almost surely, 2^{18261826438752} is an apocalyptic number.

18261826438752 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 18261826438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090122677000).

18261826438752 is an abundant number, since it is smaller than the sum of its proper divisors (39918418915248).

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

18261826438752 is a wasteful number, since it uses less digits than its factorization.

18261826438752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 16918 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 18261826438752 in words is "eighteen trillion, two hundred sixty-one billion, eight hundred twenty-six million, four hundred thirty-eight thousand, seven hundred fifty-two".