823389278464 has 27 divisors (see below), whose sum is σ = 1643591173413. Its totient is φ = 411687379968.

The previous prime is 823389278441. The next prime is 823389278483. The reversal of 823389278464 is 464872983328.

The square root of 823389278464 is 907408.

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

823389278464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 549851910400 + 273537368064 = 741520^2 + 523008^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 823389278396 and 823389278405.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14490172 + ... + 14546884.

Almost surely, 2^823389278464 is an apocalyptic number.

823389278464 is the 907408-th square number.

It is an amenable number.

823389278464 is a deficient number, since it is larger than the sum of its proper divisors (820201894949).

823389278464 is an frugal number, since it uses more digits than its factorization.

823389278464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113442 (or 56715 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 64.

Multiplying 823389278464 by its sum of digits (64), we get a square (52696913821696 = 7259264²).

823389278464 divided by its sum of digits (64) gives a square (12865457476 = 113426²).

The spelling of 823389278464 in words is "eight hundred twenty-three billion, three hundred eighty-nine million, two hundred seventy-eight thousand, four hundred sixty-four".