66181162975344 has 80 divisors (see below), whose sum is σ = 190759279910400. Its totient is φ = 21968084746944.

The previous prime is 66181162975273. The next prime is 66181162975363. The reversal of 66181162975344 is 44357926118166.

66181162975344 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 1 + 1 + 6 + 2 + 97 + 534 + 4 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 320392854 + ... + 320599349.

It is an arithmetic number, because the mean of its divisors is an integer number (2384490998880).

Almost surely, 2^{66181162975344} is an apocalyptic number.

It is an amenable number.

66181162975344 is an abundant number, since it is smaller than the sum of its proper divisors (124578116935056).

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

66181162975344 is a wasteful number, since it uses less digits than its factorization.

66181162975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640992459 (or 640992447 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 66181162975344 in words is "sixty-six trillion, one hundred eighty-one billion, one hundred sixty-two million, nine hundred seventy-five thousand, three hundred forty-four".