180291953664 has 99 divisors (see below), whose sum is σ = 520706830683. Its totient is φ = 60083730432.

The previous prime is 180291953657. The next prime is 180291953669. The reversal of 180291953664 is 466359192081.

The square root of 180291953664 is 424608.

It is a perfect power (a square), and thus also a powerful number.

180291953664 is a `hidden beast` number, since 1 + 80 + 29 + 1 + 9 + 536 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 180291953664.

It is not an unprimeable number, because it can be changed into a prime (180291953669) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 40760157 + ... + 40764579.

Almost surely, 2^180291953664 is an apocalyptic number.

180291953664 is the 424608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180291953664

180291953664 is an abundant number, since it is smaller than the sum of its proper divisors (340414877019).

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

180291953664 is an frugal number, since it uses more digits than its factorization.

180291953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 180291953664 in words is "one hundred eighty billion, two hundred ninety-one million, nine hundred fifty-three thousand, six hundred sixty-four".