864946500625 has 15 divisors (see below), whose sum is σ = 1080866201943. Its totient is φ = 691938600000.

The previous prime is 864946500611. The next prime is 864946500631. The reversal of 864946500625 is 526005649468.

The square root of 864946500625 is 930025.

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 862236673489 + 2709827136 = 928567^2 + 52056^2 .

It is not a de Polignac number, because 864946500625 - 2⁷ = 864946500497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23232025 + ... + 23269225.

Almost surely, 2^864946500625 is an apocalyptic number.

864946500625 is the 930025-th square number.

864946500625 is the 465013-rd centered octagonal number.

It is an amenable number.

864946500625 is a deficient number, since it is larger than the sum of its proper divisors (215919701318).

864946500625 is an frugal number, since it uses more digits than its factorization.

864946500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74422 (or 37206 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 864946500625 in words is "eight hundred sixty-four billion, nine hundred forty-six million, five hundred thousand, six hundred twenty-five".