15972108166144 has 165 divisors, whose sum is σ = 34636112433447. Its totient is φ = 7361766936576.

The previous prime is 15972108166139. The next prime is 15972108166193. The reversal of 15972108166144 is 44166180127951.

It is a happy number.

The square root of 15972108166144 is 3996512.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7919226348544 + 8052881817600 = 2814112^2 + 2837760^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 21613136527 + ... + 21613137265.

Almost surely, 2^{15972108166144} is an apocalyptic number.

15972108166144 is the 3996512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15972108166144

15972108166144 is an abundant number, since it is smaller than the sum of its proper divisors (18664004267303).

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

15972108166144 is an frugal number, since it uses more digits than its factorization.

15972108166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 15972108166144 in words is "fifteen trillion, nine hundred seventy-two billion, one hundred eight million, one hundred sixty-six thousand, one hundred forty-four".