8288260084944 has 240 divisors, whose sum is σ = 27693108099072. Its totient is φ = 2262555263232.

The previous prime is 8288260084879. The next prime is 8288260084961. The reversal of 8288260084944 is 4494800628828.

8288260084944 is a `hidden beast` number, since 8 + 2 + 8 + 82 + 60 + 0 + 8 + 494 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20362687 + ... + 20765729.

Almost surely, 2^{8288260084944} is an apocalyptic number.

8288260084944 is a gapful number since it is divisible by the number (84) 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 8288260084944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846554049536).

8288260084944 is an abundant number, since it is smaller than the sum of its proper divisors (19404848014128).

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

8288260084944 is a wasteful number, since it uses less digits than its factorization.

8288260084944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403974 (or 403965 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 8288260084944 in words is "eight trillion, two hundred eighty-eight billion, two hundred sixty million, eighty-four thousand, nine hundred forty-four".