323199028152 has 512 divisors, whose sum is σ = 1213209446400. Its totient is φ = 76988620800.

The previous prime is 323199028133. The next prime is 323199028169. The reversal of 323199028152 is 251820991323.

323199028152 is a `hidden beast` number, since 3 + 2 + 319 + 9 + 0 + 281 + 52 = 666.

It is a super-2 number, since 2×323199028152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323199028098 and 323199028107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33941152 + ... + 33950672.

It is an arithmetic number, because the mean of its divisors is an integer number (2369549700).

Almost surely, 2^323199028152 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 323199028152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606604723200).

323199028152 is an abundant number, since it is smaller than the sum of its proper divisors (890010418248).

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

323199028152 is a wasteful number, since it uses less digits than its factorization.

323199028152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 323199028152 in words is "three hundred twenty-three billion, one hundred ninety-nine million, twenty-eight thousand, one hundred fifty-two".