322948962432 has 192 divisors, whose sum is σ = 961967385600. Its totient is φ = 103913736192.

The previous prime is 322948962421. The next prime is 322948962443. The reversal of 322948962432 is 234269849223.

322948962432 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 4 + 8 + 9 + 624 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (322948962421) and next prime (322948962443).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5383419 + ... + 5443077.

It is an arithmetic number, because the mean of its divisors is an integer number (5010246800).

Almost surely, 2^322948962432 is an apocalyptic number.

322948962432 is a gapful number since it is divisible by the number (32) 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 322948962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480983692800).

322948962432 is an abundant number, since it is smaller than the sum of its proper divisors (639018423168).

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

322948962432 is a wasteful number, since it uses less digits than its factorization.

322948962432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59843 (or 59828 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 322948962432 in words is "three hundred twenty-two billion, nine hundred forty-eight million, nine hundred sixty-two thousand, four hundred thirty-two".