4986579294225 has 81 divisors (see below), whose sum is σ = 9157194637617. Its totient is φ = 2593928304000.

The previous prime is 4986579294149. The next prime is 4986579294253. The reversal of 4986579294225 is 5224929756894.

The square root of 4986579294225 is 2233065.

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

4986579294225 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 579 + 2 + 9 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2098931615361 + 2887647678864 = 1448769^2 + 1699308^2 .

It is not a de Polignac number, because 4986579294225 - 2⁹ = 4986579293713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1373333160 + ... + 1373336790.

Almost surely, 2^{4986579294225} is an apocalyptic number.

4986579294225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4986579294225 is the 2233065-th square number.

4986579294225 is the 1116533-rd centered octagonal number.

It is an amenable number.

4986579294225 is a deficient number, since it is larger than the sum of its proper divisors (4170615343392).

4986579294225 is an frugal number, since it uses more digits than its factorization.

4986579294225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 3680 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

It can be divided in two parts, 4986579 and 294225, that added together give a square (5280804 = 2298²).

The spelling of 4986579294225 in words is "four trillion, nine hundred eighty-six billion, five hundred seventy-nine million, two hundred ninety-four thousand, two hundred twenty-five".