1304867566864 has 45 divisors (see below), whose sum is σ = 2538501006223. Its totient is φ = 649781344256.

The previous prime is 1304867566853. The next prime is 1304867566907. The reversal of 1304867566864 is 4686657684031.

The square root of 1304867566864 is 1142308.

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 143231971600 + 1161635595264 = 378460^2 + 1077792^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304867566796 and 1304867566805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1612938492 + ... + 1612939300.

Almost surely, 2^{1304867566864} is an apocalyptic number.

1304867566864 is the 1142308-th square number.

It is an amenable number.

1304867566864 is a deficient number, since it is larger than the sum of its proper divisors (1233633439359).

1304867566864 is an frugal number, since it uses more digits than its factorization.

1304867566864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

Multiplying 1304867566864 by its sum of digits (64), we get a square (83511524279296 = 9138464²).

The spelling of 1304867566864 in words is "one trillion, three hundred four billion, eight hundred sixty-seven million, five hundred sixty-six thousand, eight hundred sixty-four".