2167446450625 has 15 divisors (see below), whose sum is σ = 2708487077791. Its totient is φ = 1733927716000.

The previous prime is 2167446450619. The next prime is 2167446450667. The reversal of 2167446450625 is 5260546447612.

The square root of 2167446450625 is 1472225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2077844409729 + 89602040896 = 1441473^2 + 299336^2 .

It is not a de Polignac number, because 2167446450625 - 2⁷ = 2167446450497 is a prime.

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, 36776181 + ... + 36835069.

Almost surely, 2^{2167446450625} is an apocalyptic number.

2167446450625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2167446450625 is the 1472225-th square number.

2167446450625 is the 736113-rd centered octagonal number.

It is an amenable number.

2167446450625 is a deficient number, since it is larger than the sum of its proper divisors (541040627166).

2167446450625 is an frugal number, since it uses more digits than its factorization.

2167446450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117798 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 2167446450625 in words is "two trillion, one hundred sixty-seven billion, four hundred forty-six million, four hundred fifty thousand, six hundred twenty-five".