323420993856000 has 1920 divisors, whose sum is σ = 1255121114607360. Its totient is φ = 82910822400000.

The previous prime is 323420993855957. The next prime is 323420993856043. The reversal of 323420993856000 is 658399024323.

It is a happy number.

323420993856000 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 20 + 9 + 9 + 3 + 8 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (323420993855957) and next prime (323420993856043).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×323420993856000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 113203006572 + ... + 113203009428.

It is an arithmetic number, because the mean of its divisors is an integer number (653708913858).

Almost surely, 2^{323420993856000} is an apocalyptic number.

323420993856000 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 323420993856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627560557303680).

323420993856000 is an abundant number, since it is smaller than the sum of its proper divisors (931700120751360).

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

323420993856000 is an equidigital number, since it uses as much as digits as its factorization.

323420993856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 323420993856000 in words is "three hundred twenty-three trillion, four hundred twenty billion, nine hundred ninety-three million, eight hundred fifty-six thousand".