32848640970912 has 384 divisors, whose sum is σ = 107685795409920. Its totient is φ = 9665910144000.

The previous prime is 32848640970857. The next prime is 32848640970961. The reversal of 32848640970912 is 21907904684823.

32848640970912 is a `hidden beast` number, since 3 + 2 + 84 + 86 + 409 + 70 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×32848640970912² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32848640970912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1799817787 + ... + 1799836037.

It is an arithmetic number, because the mean of its divisors is an integer number (280431758880).

Almost surely, 2^{32848640970912} is an apocalyptic number.

32848640970912 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 32848640970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53842897704960).

32848640970912 is an abundant number, since it is smaller than the sum of its proper divisors (74837154439008).

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

32848640970912 is a wasteful number, since it uses less digits than its factorization.

32848640970912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273 (or 25259 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 32848640970912 in words is "thirty-two trillion, eight hundred forty-eight billion, six hundred forty million, nine hundred seventy thousand, nine hundred twelve".