4159662225625 has 45 divisors (see below), whose sum is σ = 5435268455001. Its totient is φ = 3182148486000.

The previous prime is 4159662225583. The next prime is 4159662225643. The reversal of 4159662225625 is 5265222669514.

The square root of 4159662225625 is 2039525.

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 326117518489 + 3833544707136 = 571067^2 + 1957944^2 .

It is not a de Polignac number, because 4159662225625 - 2⁷ = 4159662225497 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 (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1172725102 + ... + 1172728648.

Almost surely, 2^{4159662225625} is an apocalyptic number.

4159662225625 is the 2039525-th square number.

4159662225625 is the 1019763-rd centered octagonal number.

It is an amenable number.

4159662225625 is a deficient number, since it is larger than the sum of its proper divisors (1275606229376).

4159662225625 is an frugal number, since it uses more digits than its factorization.

4159662225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 3575 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The spelling of 4159662225625 in words is "four trillion, one hundred fifty-nine billion, six hundred sixty-two million, two hundred twenty-five thousand, six hundred twenty-five".