32328485085312 has 512 divisors, whose sum is σ = 105155166816000. Its totient is φ = 9716386627584.

The previous prime is 32328485085289. The next prime is 32328485085341. The reversal of 32328485085312 is 21358058482323.

32328485085312 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 84 + 8 + 508 + 53 + 1 + 2 = 666.

It is a super-2 number, since 2×32328485085312² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 540498864 + ... + 540558672.

Almost surely, 2^{32328485085312} is an apocalyptic number.

32328485085312 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 32328485085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577583408000).

32328485085312 is an abundant number, since it is smaller than the sum of its proper divisors (72826681730688).

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

32328485085312 is a wasteful number, since it uses less digits than its factorization.

32328485085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60125 (or 60107 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 32328485085312 in words is "thirty-two trillion, three hundred twenty-eight billion, four hundred eighty-five million, eighty-five thousand, three hundred twelve".