321795798766848 has 864 divisors, whose sum is σ = 1150056349618176. Its totient is φ = 84431897690112.

The previous prime is 321795798766843. The next prime is 321795798766919. The reversal of 321795798766848 is 848667897597123.

321795798766848 is a `hidden beast` number, since 3 + 21 + 7 + 9 + 579 + 8 + 7 + 6 + 6 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×321795798766848² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321795798766843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11589131461 + ... + 11589159227.

It is an arithmetic number, because the mean of its divisors is an integer number (1331083737984).

Almost surely, 2^{321795798766848} 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 321795798766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575028174809088).

321795798766848 is an abundant number, since it is smaller than the sum of its proper divisors (828260550851328).

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

321795798766848 is a wasteful number, since it uses less digits than its factorization.

321795798766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28839 (or 28822 counting only the distinct ones).

The product of its digits is 61451550720, while the sum is 90.

The spelling of 321795798766848 in words is "three hundred twenty-one trillion, seven hundred ninety-five billion, seven hundred ninety-eight million, seven hundred sixty-six thousand, eight hundred forty-eight".