322861054464 has 400 divisors, whose sum is σ = 1041447775368. Its totient is φ = 98991341568.

The previous prime is 322861054459. The next prime is 322861054469. The reversal of 322861054464 is 464450168223.

322861054464 is a `hidden beast` number, since 3 + 2 + 2 + 86 + 105 + 4 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (322861054459) and next prime (322861054469).

It can be written as a sum of positive squares in 4 ways, for example, as 187495928064 + 135365126400 = 433008^2 + 367920^2 .

It is not an unprimeable number, because it can be changed into a prime (322861054469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181687944 + ... + 181689720.

Almost surely, 2^322861054464 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 322861054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520723887684).

322861054464 is an abundant number, since it is smaller than the sum of its proper divisors (718586720904).

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

322861054464 is a wasteful number, since it uses less digits than its factorization.

322861054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 322861054464 in words is "three hundred twenty-two billion, eight hundred sixty-one million, fifty-four thousand, four hundred sixty-four".