323225540352000 has 2304 divisors, whose sum is σ = 1415971104912000. Its totient is φ = 69833981952000.

The previous prime is 323225540351999. The next prime is 323225540352023. The reversal of 323225540352000 is 253045522323.

323225540352000 is a `hidden beast` number, since 3 + 2 + 3 + 225 + 5 + 403 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9554671086 + ... + 9554704914.

Almost surely, 2^{323225540352000} is an apocalyptic number.

323225540352000 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 323225540352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707985552456000).

323225540352000 is an abundant number, since it is smaller than the sum of its proper divisors (1092745564560000).

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

323225540352000 is a wasteful number, since it uses less digits than its factorization.

323225540352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33925 (or 33892 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 323225540352000 its reverse (253045522323), we get a palindrome (323478585874323).

The spelling of 323225540352000 in words is "three hundred twenty-three trillion, two hundred twenty-five billion, five hundred forty million, three hundred fifty-two thousand".