18051741886464 has 2304 divisors, whose sum is σ = 69019053143040. Its totient is φ = 4628514078720.

The previous prime is 18051741886441. The next prime is 18051741886501. The reversal of 18051741886464 is 46468814715081.

18051741886464 is a `hidden beast` number, since 1 + 8 + 0 + 51 + 7 + 41 + 8 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52022310739 + ... + 52022311085.

It is an arithmetic number, because the mean of its divisors is an integer number (29956186260).

Almost surely, 2^{18051741886464} 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 18051741886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34509526571520).

18051741886464 is an abundant number, since it is smaller than the sum of its proper divisors (50967311256576).

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

18051741886464 is a wasteful number, since it uses less digits than its factorization.

18051741886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 18051741886464 in words is "eighteen trillion, fifty-one billion, seven hundred forty-one million, eight hundred eighty-six thousand, four hundred sixty-four".