18135781618752 has 672 divisors, whose sum is σ = 64361142743040. Its totient is φ = 4764243640320.

The previous prime is 18135781618723. The next prime is 18135781618907. The reversal of 18135781618752 is 25781618753181.

18135781618752 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 5 + 7 + 8 + 1 + 618 + 7 + 5 + 2 = 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 self number, because there is not a number n which added to its sum of digits gives 18135781618752.

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 95 ways as a sum of consecutive naturals, for example, 1839510399 + ... + 1839520257.

Almost surely, 2^{18135781618752} is an apocalyptic number.

18135781618752 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 18135781618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32180571371520).

18135781618752 is an abundant number, since it is smaller than the sum of its proper divisors (46225361124288).

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

18135781618752 is a wasteful number, since it uses less digits than its factorization.

18135781618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10506 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 18135781618752 in words is "eighteen trillion, one hundred thirty-five billion, seven hundred eighty-one million, six hundred eighteen thousand, seven hundred fifty-two".