18507056857344 has 432 divisors, whose sum is σ = 60462939386304. Its totient is φ = 5599317196800.

The previous prime is 18507056857337. The next prime is 18507056857403. The reversal of 18507056857344 is 44375865070581.

It is a happy number.

18507056857344 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 7 + 0 + 56 + 8 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×18507056857344² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438607512 + ... + 438649704.

Almost surely, 2^{18507056857344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18507056857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30231469693152).

18507056857344 is an abundant number, since it is smaller than the sum of its proper divisors (41955882528960).

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

18507056857344 is an equidigital number, since it uses as much as digits as its factorization.

18507056857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42876 (or 42850 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 18507056857344 in words is "eighteen trillion, five hundred seven billion, fifty-six million, eight hundred fifty-seven thousand, three hundred forty-four".