322952863233000 has 2048 divisors, whose sum is σ = 1450610535628800. Its totient is φ = 57562472448000.

The previous prime is 322952863232977. The next prime is 322952863233001. The reversal of 322952863233000 is 332368259223.

It is not an unprimeable number, because it can be changed into a prime (322952863233001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4032988962 + ... + 4033069038.

It is an arithmetic number, because the mean of its divisors is an integer number (708305925600).

Almost surely, 2^{322952863233000} is an apocalyptic number.

322952863233000 is a gapful number since it is divisible by the number (30) 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 322952863233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725305267814400).

322952863233000 is an abundant number, since it is smaller than the sum of its proper divisors (1127657672395800).

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

322952863233000 is a wasteful number, since it uses less digits than its factorization.

322952863233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80228 (or 80214 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 322952863233000 in words is "three hundred twenty-two trillion, nine hundred fifty-two billion, eight hundred sixty-three million, two hundred thirty-three thousand".