7166291522049 has 81 divisors (see below), whose sum is σ = 11897458418209. Its totient is φ = 4153194019920.

The previous prime is 7166291522021. The next prime is 7166291522051. The reversal of 7166291522049 is 9402251926617.

It is a happy number.

The square root of 7166291522049 is 2676993.

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

7166291522049 is a `hidden beast` number, since 7 + 1 + 6 + 629 + 1 + 5 + 2 + 2 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 7166291522049 - 2³⁵ = 7131931783681 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7166291521986 and 7166291522004.

It is not an unprimeable number, because it can be changed into a prime (7166291502049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2031835924 + ... + 2031839450.

Almost surely, 2^{7166291522049} is an apocalyptic number.

7166291522049 is the 2676993-rd square number.

7166291522049 is the 1338497-th centered octagonal number.

It is an amenable number.

7166291522049 is a deficient number, since it is larger than the sum of its proper divisors (4731166896160).

7166291522049 is an equidigital number, since it uses as much as digits as its factorization.

7166291522049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 7166291522049 in words is "seven trillion, one hundred sixty-six billion, two hundred ninety-one million, five hundred twenty-two thousand, forty-nine".