323408861056512 has 2880 divisors, whose sum is σ = 1287808179001344. Its totient is φ = 79971041525760.

The previous prime is 323408861056507. The next prime is 323408861056591. The reversal of 323408861056512 is 215650168804323.

323408861056512 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 0 + 8 + 8 + 61 + 0 + 565 + 12 = 666.

It is a super-2 number, since 2×323408861056512² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 473512241323 + ... + 473512242005.

Almost surely, 2^{323408861056512} is an apocalyptic number.

323408861056512 is a gapful number since it is divisible by the number (32) 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 323408861056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643904089500672).

323408861056512 is an abundant number, since it is smaller than the sum of its proper divisors (964399317944832).

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

323408861056512 is a wasteful number, since it uses less digits than its factorization.

323408861056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 323408861056512 in words is "three hundred twenty-three trillion, four hundred eight billion, eight hundred sixty-one million, fifty-six thousand, five hundred twelve".