813322390464 has 504 divisors, whose sum is σ = 2507350929408. Its totient is φ = 251665367040.

The previous prime is 813322390451. The next prime is 813322390481. The reversal of 813322390464 is 464093223318.

813322390464 is a `hidden beast` number, since 8 + 133 + 22 + 39 + 0 + 464 = 666.

It is a super-2 number, since 2×813322390464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7896333837 + ... + 7896333939.

Almost surely, 2^813322390464 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 813322390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253675464704).

813322390464 is an abundant number, since it is smaller than the sum of its proper divisors (1694028538944).

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

813322390464 is a wasteful number, since it uses less digits than its factorization.

813322390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 813322390464 in words is "eight hundred thirteen billion, three hundred twenty-two million, three hundred ninety thousand, four hundred sixty-four".