322256764928 has 140 divisors (see below), whose sum is σ = 751887709455. Its totient is φ = 138110042112.

The previous prime is 322256764927. The next prime is 322256764933. The reversal of 322256764928 is 829467652223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 161128382464 + 161128382464 = 401408^2 + 401408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=401408.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

Its product of digits (17418240) is a multiple of the sum of its prime divisors (9).

It is not an unprimeable number, because it can be changed into a prime (322256764927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 46036680701 + ... + 46036680707.

Almost surely, 2^322256764928 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 322256764928

322256764928 is an abundant number, since it is smaller than the sum of its proper divisors (429630944527).

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

322256764928 is an frugal number, since it uses more digits than its factorization.

322256764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 9 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

Multiplying 322256764928 by its sum of digits (56), we get a 5-th power (18046378835968 = 448⁵).

322256764928 divided by its sum of digits (56) gives a cube (5754585088 = 1792³).

The spelling of 322256764928 in words is "three hundred twenty-two billion, two hundred fifty-six million, seven hundred sixty-four thousand, nine hundred twenty-eight".