8868224139264 has 768 divisors, whose sum is σ = 29855774707200. Its totient is φ = 2484451934208.

The previous prime is 8868224139259. The next prime is 8868224139293. The reversal of 8868224139264 is 4629314228688.

8868224139264 is a `hidden beast` number, since 8 + 86 + 82 + 2 + 413 + 9 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38061047692 + ... + 38061047924.

It is an arithmetic number, because the mean of its divisors is an integer number (38874706650).

Almost surely, 2^{8868224139264} is an apocalyptic number.

8868224139264 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 8868224139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927887353600).

8868224139264 is an abundant number, since it is smaller than the sum of its proper divisors (20987550567936).

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

8868224139264 is a wasteful number, since it uses less digits than its factorization.

8868224139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 527 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 8868224139264 in words is "eight trillion, eight hundred sixty-eight billion, two hundred twenty-four million, one hundred thirty-nine thousand, two hundred sixty-four".