180196854016 has 81 divisors (see below), whose sum is σ = 368847031161. Its totient is φ = 87860484096.

The previous prime is 180196854011. The next prime is 180196854037. The reversal of 180196854016 is 610458691081.

The square root of 180196854016 is 424496.

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., 5218617600 + 174978236416 = 72240^2 + 418304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180196854011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292052940 + ... + 292053556.

Almost surely, 2^180196854016 is an apocalyptic number.

180196854016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

180196854016 is the 424496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180196854016

180196854016 is an abundant number, since it is smaller than the sum of its proper divisors (188650177145).

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

180196854016 is an frugal number, since it uses more digits than its factorization.

180196854016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 180196854016 by its sum of digits (49), we get a square (8829645846784 = 2971472²).

The spelling of 180196854016 in words is "one hundred eighty billion, one hundred ninety-six million, eight hundred fifty-four thousand, sixteen".