321171225984 has 672 divisors, whose sum is σ = 1174984399800. Its totient is φ = 86910050304.

The previous prime is 321171225983. The next prime is 321171226031. The reversal of 321171225984 is 489522171123.

321171225984 is a `hidden beast` number, since 3 + 21 + 17 + 1 + 22 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321171225983) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86871624 + ... + 86875320.

Almost surely, 2^321171225984 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 321171225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587492199900).

321171225984 is an abundant number, since it is smaller than the sum of its proper divisors (853813173816).

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

321171225984 is an equidigital number, since it uses as much as digits as its factorization.

321171225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3728 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 321171225984 in words is "three hundred twenty-one billion, one hundred seventy-one million, two hundred twenty-five thousand, nine hundred eighty-four".