322160577552 has 180 divisors, whose sum is σ = 994609843500. Its totient is φ = 97270525440.

The previous prime is 322160577493. The next prime is 322160577593. The reversal of 322160577552 is 255775061223.

322160577552 is a `hidden beast` number, since 3 + 2 + 21 + 6 + 0 + 5 + 77 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126269358336 + 195891219216 = 355344^2 + 442596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 322160577498 and 322160577507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4793074 + ... + 4859822.

Almost surely, 2^322160577552 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 322160577552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497304921750).

322160577552 is an abundant number, since it is smaller than the sum of its proper divisors (672449265948).

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

322160577552 is a wasteful number, since it uses less digits than its factorization.

322160577552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67062 (or 67042 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 322160577552 in words is "three hundred twenty-two billion, one hundred sixty million, five hundred seventy-seven thousand, five hundred fifty-two".