4979168274025 has 81 divisors (see below), whose sum is σ = 7033596684933. Its totient is φ = 3493844692800.

The previous prime is 4979168274023. The next prime is 4979168274037. The reversal of 4979168274025 is 5204728619794.

The square root of 4979168274025 is 2231405.

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 68441361769 + 4910726912256 = 261613^2 + 2216016^2 .

It is not a de Polignac number, because 4979168274025 - 2¹ = 4979168274023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4979168274023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3559090276 + ... + 3559091674.

Almost surely, 2^{4979168274025} is an apocalyptic number.

4979168274025 is the 2231405-th square number.

4979168274025 is the 1115703-rd centered octagonal number.

It is an amenable number.

4979168274025 is a deficient number, since it is larger than the sum of its proper divisors (2054428410908).

4979168274025 is an equidigital number, since it uses as much as digits as its factorization.

4979168274025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 4979168274025 by its sum of digits (64), we get a square (318666769537600 = 17851240²).

The spelling of 4979168274025 in words is "four trillion, nine hundred seventy-nine billion, one hundred sixty-eight million, two hundred seventy-four thousand, twenty-five".