180092964496384 has 99 divisors (see below), whose sum is σ = 361585293525937. Its totient is φ = 89654192549888.

The previous prime is 180092964496349. The next prime is 180092964496387. The reversal of 180092964496384 is 483694469290081.

The square root of 180092964496384 is 13419872.

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

It can be written as a sum of positive squares in only one way, i.e., 11849236521984 + 168243727974400 = 3442272^2 + 12970880^2 .

It is a super-2 number, since 2×180092964496384² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180092964496387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115518257397 + ... + 115518258955.

Almost surely, 2^{180092964496384} is an apocalyptic number.

180092964496384 is the 13419872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180092964496384

180092964496384 is an abundant number, since it is smaller than the sum of its proper divisors (181492329029553).

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

180092964496384 is an frugal number, since it uses more digits than its factorization.

180092964496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 73.

The spelling of 180092964496384 in words is "one hundred eighty trillion, ninety-two billion, nine hundred sixty-four million, four hundred ninety-six thousand, three hundred eighty-four".