323152700400000 has 576 divisors, whose sum is σ = 1162714146375600. Its totient is φ = 86143910400000.

The previous prime is 323152700399987. The next prime is 323152700400071. The reversal of 323152700400000 is 4007251323.

323152700400000 is a `hidden beast` number, since 3 + 231 + 5 + 27 + 0 + 0 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11451585891 + ... + 11451614109.

Almost surely, 2^{323152700400000} is an apocalyptic number.

323152700400000 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 323152700400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581357073187800).

323152700400000 is an abundant number, since it is smaller than the sum of its proper divisors (839561445975600).

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

323152700400000 is an equidigital number, since it uses as much as digits as its factorization.

323152700400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31445 (or 31410 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 323152700400000 its reverse (4007251323), we get a palindrome (323156707651323).

The spelling of 323152700400000 in words is "three hundred twenty-three trillion, one hundred fifty-two billion, seven hundred million, four hundred thousand".