768614908449025 has 81 divisors (see below), whose sum is σ = 1050853149715593. Its totient is φ = 557263797974400.

The previous prime is 768614908448993. The next prime is 768614908449049. The reversal of 768614908449025 is 520944809416867.

The square root of 768614908449025 is 27723905.

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 53526767807601 + 715088140641424 = 7316199^2 + 26741132^2 .

It is not a de Polignac number, because 768614908449025 - 2⁵ = 768614908448993 is a prime.

It is a Duffinian number.

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, 696840351624 + ... + 696840352726.

Almost surely, 2^{768614908449025} is an apocalyptic number.

768614908449025 is the 27723905-th square number.

768614908449025 is the 13861953-rd centered octagonal number.

It is an amenable number.

768614908449025 is a deficient number, since it is larger than the sum of its proper divisors (282238241266568).

768614908449025 is an frugal number, since it uses more digits than its factorization.

768614908449025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 73.

The spelling of 768614908449025 in words is "seven hundred sixty-eight trillion, six hundred fourteen billion, nine hundred eight million, four hundred forty-nine thousand, twenty-five".