819893496464 has 160 divisors (see below), whose sum is σ = 1865821651200. Its totient is φ = 348871369728.

The previous prime is 819893496427. The next prime is 819893496479. The reversal of 819893496464 is 464694398918.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597154082 + ... + 597155454.

It is an arithmetic number, because the mean of its divisors is an integer number (11661385320).

Almost surely, 2^819893496464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819893496464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932910825600).

819893496464 is an abundant number, since it is smaller than the sum of its proper divisors (1045928154736).

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

819893496464 is a wasteful number, since it uses less digits than its factorization.

819893496464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2082 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 71.

The spelling of 819893496464 in words is "eight hundred nineteen billion, eight hundred ninety-three million, four hundred ninety-six thousand, four hundred sixty-four".