360181222801 has 27 divisors (see below), whose sum is σ = 392197307313. Its totient is φ = 330707207040.

The previous prime is 360181222789. The next prime is 360181222829. The reversal of 360181222801 is 108222181063.

It is a happy number.

The square root of 360181222801 is 600151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1289169025 + 358892053776 = 35905^2 + 599076^2 .

It is not a de Polignac number, because 360181222801 - 2⁷ = 360181222673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360181222861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438709971 + ... + 438710791.

Almost surely, 2^360181222801 is an apocalyptic number.

360181222801 is the 600151-st square number.

360181222801 is the 300076-th centered octagonal number.

It is an amenable number.

360181222801 is a deficient number, since it is larger than the sum of its proper divisors (32016084512).

360181222801 is an frugal number, since it uses more digits than its factorization.

360181222801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 360181222801 in words is "three hundred sixty billion, one hundred eighty-one million, two hundred twenty-two thousand, eight hundred one".