15648203319961 has 81 divisors (see below), whose sum is σ = 18085373325117. Its totient is φ = 13534467344640.

The previous prime is 15648203319913. The next prime is 15648203319977. The reversal of 15648203319961 is 16991330284651.

The square root of 15648203319961 is 3955781.

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 7279101476361 + 8369101843600 = 2697981^2 + 2892940^2 .

It is not a de Polignac number, because 15648203319961 - 2¹¹ = 15648203317913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15648203319896 and 15648203319905.

It is not an unprimeable number, because it can be changed into a prime (15648203313961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47275538566 + ... + 47275538896.

Almost surely, 2^{15648203319961} is an apocalyptic number.

15648203319961 is the 3955781-st square number.

15648203319961 is the 1977891-st centered octagonal number.

It is an amenable number.

15648203319961 is a deficient number, since it is larger than the sum of its proper divisors (2437170005156).

15648203319961 is an frugal number, since it uses more digits than its factorization.

15648203319961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 15648203319961 in words is "fifteen trillion, six hundred forty-eight billion, two hundred three million, three hundred nineteen thousand, nine hundred sixty-one".