378560864529 has 81 divisors (see below), whose sum is σ = 589932654129. Its totient is φ = 233902183680.

The previous prime is 378560864527. The next prime is 378560864531. The reversal of 378560864529 is 925468065873.

It is a happy number.

The square root of 378560864529 is 615273.

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

378560864529 is a `hidden beast` number, since 3 + 7 + 8 + 560 + 8 + 6 + 45 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (378560864527) and next prime (378560864531).

It can be written as a sum of positive squares in 4 ways, for example, as 164328890625 + 214231973904 = 405375^2 + 462852^2 .

It is not a de Polignac number, because 378560864529 - 2¹ = 378560864527 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378560864527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1570791849 + ... + 1570792089.

Almost surely, 2^378560864529 is an apocalyptic number.

378560864529 is the 615273-rd square number.

378560864529 is the 307637-th centered octagonal number.

It is an amenable number.

378560864529 is a deficient number, since it is larger than the sum of its proper divisors (211371789600).

378560864529 is an equidigital number, since it uses as much as digits as its factorization.

378560864529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 378560864529 in words is "three hundred seventy-eight billion, five hundred sixty million, eight hundred sixty-four thousand, five hundred twenty-nine".