64857493162225 has 27 divisors (see below), whose sum is σ = 80619247571617. Its totient is φ = 51759878050880.

The previous prime is 64857493162213. The next prime is 64857493162247. The reversal of 64857493162225 is 52226139475846.

The square root of 64857493162225 is 8053415.

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 36930791939041 + 27926701223184 = 6077071^2 + 5284572^2 .

It is not a de Polignac number, because 64857493162225 - 2²⁵ = 64857459607793 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 (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18804722301 + ... + 18804725749.

Almost surely, 2^{64857493162225} is an apocalyptic number.

64857493162225 is the 8053415-th square number.

64857493162225 is the 4026708-th centered octagonal number.

It is an amenable number.

64857493162225 is a deficient number, since it is larger than the sum of its proper divisors (15761754409392).

64857493162225 is an frugal number, since it uses more digits than its factorization.

64857493162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 3921 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 64.

The spelling of 64857493162225 in words is "sixty-four trillion, eight hundred fifty-seven billion, four hundred ninety-three million, one hundred sixty-two thousand, two hundred twenty-five".