819564468804 has 27 divisors (see below), whose sum is σ = 2071690582143. Its totient is φ = 273186345672.

The previous prime is 819564468799. The next prime is 819564468809. The reversal of 819564468804 is 408864465918.

The square root of 819564468804 is 905298.

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

819564468804 is a `hidden beast` number, since 8 + 1 + 9 + 564 + 4 + 68 + 8 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (819564468799) and next prime (819564468809).

It is not an unprimeable number, because it can be changed into a prime (819564468809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5356347 + ... + 5507229.

Almost surely, 2^819564468804 is an apocalyptic number.

819564468804 is the 905298-th square number.

It is an amenable number.

819564468804 is an abundant number, since it is smaller than the sum of its proper divisors (1252126113339).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

819564468804 is an frugal number, since it uses more digits than its factorization.

819564468804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301776 (or 150888 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 819564468804 in words is "eight hundred nineteen billion, five hundred sixty-four million, four hundred sixty-eight thousand, eight hundred four".