323253694080 has 512 divisors, whose sum is σ = 1215916704000. Its totient is φ = 80932110336.

The previous prime is 323253694079. The next prime is 323253694117. The reversal of 323253694080 is 80496352323.

323253694080 is a `hidden beast` number, since 3 + 2 + 32 + 536 + 9 + 4 + 0 + 80 = 666.

It is a super-3 number, since 3×323253694080³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37095804 + ... + 37104516.

Almost surely, 2^323253694080 is an apocalyptic number.

323253694080 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 323253694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607958352000).

323253694080 is an abundant number, since it is smaller than the sum of its proper divisors (892663009920).

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

323253694080 is a wasteful number, since it uses less digits than its factorization.

323253694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 323253694080 in words is "three hundred twenty-three billion, two hundred fifty-three million, six hundred ninety-four thousand, eighty".