32848085088 has 384 divisors, whose sum is σ = 121728983040. Its totient is φ = 8383150080.

The previous prime is 32848085059. The next prime is 32848085143. The reversal of 32848085088 is 88058084823.

32848085088 is a `hidden beast` number, since 3 + 2 + 8 + 480 + 85 + 0 + 88 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2430606 + ... + 2444082.

It is an arithmetic number, because the mean of its divisors is an integer number (317002560).

Almost surely, 2^32848085088 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 32848085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60864491520).

32848085088 is an abundant number, since it is smaller than the sum of its proper divisors (88880897952).

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

32848085088 is a wasteful number, since it uses less digits than its factorization.

32848085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13547 (or 13533 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 32848085088 in words is "thirty-two billion, eight hundred forty-eight million, eighty-five thousand, eighty-eight".