321697276994016 has 2304 divisors, whose sum is σ = 1272975143731200. Its totient is φ = 74554421760000.

The previous prime is 321697276993927. The next prime is 321697276994039. The reversal of 321697276994016 is 610499672796123.

321697276994016 is a `hidden beast` number, since 3 + 2 + 1 + 69 + 7 + 2 + 76 + 99 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73262871181 + ... + 73262875571.

It is an arithmetic number, because the mean of its divisors is an integer number (552506572800).

Almost surely, 2^{321697276994016} is an apocalyptic number.

321697276994016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321697276994016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636487571865600).

321697276994016 is an abundant number, since it is smaller than the sum of its proper divisors (951277866737184).

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

321697276994016 is a wasteful number, since it uses less digits than its factorization.

321697276994016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 321697276994016 in words is "three hundred twenty-one trillion, six hundred ninety-seven billion, two hundred seventy-six million, nine hundred ninety-four thousand, sixteen".