180852871824 has 75 divisors (see below), whose sum is σ = 523484995033. Its totient is φ = 60279187392.

The previous prime is 180852871813. The next prime is 180852871841. The reversal of 180852871824 is 428178258081.

It is a happy number.

The square root of 180852871824 is 425268.

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

180852871824 is a `hidden beast` number, since 1 + 80 + 8 + 528 + 7 + 18 + 24 = 666.

180852871824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 70873088400 + 109979783424 = 266220^2 + 331632^2 .

It is a super-2 number, since 2×180852871824² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15303742 + ... + 15315554.

Almost surely, 2^180852871824 is an apocalyptic number.

180852871824 is the 425268-th square number.

It is an amenable number.

180852871824 is an abundant number, since it is smaller than the sum of its proper divisors (342632123209).

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

180852871824 is an frugal number, since it uses more digits than its factorization.

180852871824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23646 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

It can be divided in two parts, 180852 and 871824, that added together give a square (1052676 = 1026²).

The spelling of 180852871824 in words is "one hundred eighty billion, eight hundred fifty-two million, eight hundred seventy-one thousand, eight hundred twenty-four".