321434252617116 has 192 divisors, whose sum is σ = 773328857333760. Its totient is φ = 103862255961600.

The previous prime is 321434252617033. The next prime is 321434252617117. The reversal of 321434252617116 is 611716252434123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321434252617117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63992482581 + ... + 63992487603.

It is an arithmetic number, because the mean of its divisors is an integer number (4027754465280).

Almost surely, 2^{321434252617116} is an apocalyptic number.

It is an amenable number.

321434252617116 is an abundant number, since it is smaller than the sum of its proper divisors (451894604716644).

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

321434252617116 is a wasteful number, since it uses less digits than its factorization.

321434252617116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7302 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 321434252617116 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, two hundred fifty-two million, six hundred seventeen thousand, one hundred sixteen".