32882234546688 has 160 divisors (see below), whose sum is σ = 88509863756160. Its totient is φ = 10847515361280.

The previous prime is 32882234546663. The next prime is 32882234546719. The reversal of 32882234546688 is 88664543228823.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58461358 + ... + 59021138.

It is an arithmetic number, because the mean of its divisors is an integer number (553186648476).

Almost surely, 2^{32882234546688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32882234546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44254931878080).

32882234546688 is an abundant number, since it is smaller than the sum of its proper divisors (55627629209472).

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

32882234546688 is a wasteful number, since it uses less digits than its factorization.

32882234546688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560198 (or 560182 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 69.

The spelling of 32882234546688 in words is "thirty-two trillion, eight hundred eighty-two billion, two hundred thirty-four million, five hundred forty-six thousand, six hundred eighty-eight".