321755170451344 has 80 divisors (see below), whose sum is σ = 761836146615936. Its totient is φ = 128498611968000.

The previous prime is 321755170451311. The next prime is 321755170451347. The reversal of 321755170451344 is 443154071557123.

It is a super-2 number, since 2×321755170451344² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321755170451291 and 321755170451300.

It is not an unprimeable number, because it can be changed into a prime (321755170451347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836387202 + ... + 836771809.

Almost surely, 2^{321755170451344} is an apocalyptic number.

321755170451344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

321755170451344 is an abundant number, since it is smaller than the sum of its proper divisors (440080976164592).

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

321755170451344 is a wasteful number, since it uses less digits than its factorization.

321755170451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673159144 (or 1673159138 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 52.

The spelling of 321755170451344 in words is "three hundred twenty-one trillion, seven hundred fifty-five billion, one hundred seventy million, four hundred fifty-one thousand, three hundred forty-four".