15975953042049 has 243 divisors, whose sum is σ = 31974478060707. Its totient is φ = 7660796663520.

The previous prime is 15975953042011. The next prime is 15975953042051. The reversal of 15975953042049 is 94024035957951.

The square root of 15975953042049 is 3996993.

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

15975953042049 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 59 + 530 + 4 + 2 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2363306663025 + 13612646379024 = 1537305^2 + 3689532^2 .

It is not a de Polignac number, because 15975953042049 - 2¹⁵ = 15975953009281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (15975953042059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1228919464767 + ... + 1228919464779.

Almost surely, 2^{15975953042049} is an apocalyptic number.

15975953042049 is the 3996993-rd square number.

15975953042049 is the 1998497-th centered octagonal number.

It is an amenable number.

15975953042049 is an abundant number, since it is smaller than the sum of its proper divisors (15998525018658).

15975953042049 is an frugal number, since it uses more digits than its factorization.

15975953042049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 15975953042049 in words is "fifteen trillion, nine hundred seventy-five billion, nine hundred fifty-three million, forty-two thousand, forty-nine".