8283965938272 has 72 divisors (see below), whose sum is σ = 24943265100936. Its totient is φ = 2598891273216.

The previous prime is 8283965938271. The next prime is 8283965938291. The reversal of 8283965938272 is 2728395693828.

8283965938272 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 9 + 6 + 593 + 8 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8283965938272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8283965938271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 845988358 + ... + 845998149.

It is an arithmetic number, because the mean of its divisors is an integer number (346434237513).

Almost surely, 2^{8283965938272} is an apocalyptic number.

It is an amenable number.

8283965938272 is an abundant number, since it is smaller than the sum of its proper divisors (16659299162664).

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

8283965938272 is a wasteful number, since it uses less digits than its factorization.

8283965938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691986540 (or 1691986529 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 8283965938272 in words is "eight trillion, two hundred eighty-three billion, nine hundred sixty-five million, nine hundred thirty-eight thousand, two hundred seventy-two".