15160362364161 has 81 divisors (see below), whose sum is σ = 26326169897859. Its totient is φ = 8382208816800.

The previous prime is 15160362364057. The next prime is 15160362364163. The reversal of 15160362364161 is 16146326306151.

The square root of 15160362364161 is 3893631.

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

15160362364161 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 0 + 3 + 623 + 6 + 4 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 407849554161 + 14752512810000 = 638631^2 + 3840900^2 .

It is not a de Polignac number, because 15160362364161 - 2⁹ = 15160362363649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15160362364163) 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 80 ways as a sum of consecutive naturals, for example, 2534750791 + ... + 2534756771.

Almost surely, 2^{15160362364161} is an apocalyptic number.

15160362364161 is the 3893631-st square number.

15160362364161 is the 1946816-th centered octagonal number.

It is an amenable number.

15160362364161 is a deficient number, since it is larger than the sum of its proper divisors (11165807533698).

15160362364161 is an frugal number, since it uses more digits than its factorization.

15160362364161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 15160362364161 in words is "fifteen trillion, one hundred sixty billion, three hundred sixty-two million, three hundred sixty-four thousand, one hundred sixty-one".