180011821284 has 135 divisors (see below), whose sum is σ = 477452672697. Its totient is φ = 59385343104.

The previous prime is 180011821279. The next prime is 180011821289. The reversal of 180011821284 is 482128110081.

The square root of 180011821284 is 424278.

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

It is an interprime number because it is at equal distance from previous prime (180011821279) and next prime (180011821289).

It can be written as a sum of positive squares in only one way, i.e., 80832176100 + 99179645184 = 284310^2 + 314928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (180011821289) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1855791924 + ... + 1855792020.

Almost surely, 2^180011821284 is an apocalyptic number.

180011821284 is the 424278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180011821284

180011821284 is an abundant number, since it is smaller than the sum of its proper divisors (297440851413).

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

180011821284 is an frugal number, since it uses more digits than its factorization.

180011821284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

Multiplying 180011821284 by its sum of digits (36), we get a square (6480425566224 = 2545668²).

180011821284 divided by its sum of digits (36) gives a square (5000328369 = 70713²).

The spelling of 180011821284 in words is "one hundred eighty billion, eleven million, eight hundred twenty-one thousand, two hundred eighty-four".