321617132928 has 1152 divisors, whose sum is σ = 1228663537920. Its totient is φ = 81535279104.

The previous prime is 321617132911. The next prime is 321617132933. The reversal of 321617132928 is 829231716123.

It is a happy number.

321617132928 is a `hidden beast` number, since 3 + 2 + 1 + 617 + 1 + 3 + 2 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3874905175 + ... + 3874905257.

It is an arithmetic number, because the mean of its divisors is an integer number (1066548210).

Almost surely, 2^321617132928 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 321617132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614331768960).

321617132928 is an abundant number, since it is smaller than the sum of its proper divisors (907046404992).

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

321617132928 is an equidigital number, since it uses as much as digits as its factorization.

321617132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 145 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 321617132928 in words is "three hundred twenty-one billion, six hundred seventeen million, one hundred thirty-two thousand, nine hundred twenty-eight".