8225700048864 has 144 divisors (see below), whose sum is σ = 23825105216640. Its totient is φ = 2691257498880.

The previous prime is 8225700048847. The next prime is 8225700048913. The reversal of 8225700048864 is 4688400075228.

8225700048864 is a `hidden beast` number, since 8 + 2 + 2 + 570 + 0 + 0 + 4 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 8225700048864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10619719 + ... + 11367929.

It is an arithmetic number, because the mean of its divisors is an integer number (165452119560).

Almost surely, 2^{8225700048864} 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 8225700048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912552608320).

8225700048864 is an abundant number, since it is smaller than the sum of its proper divisors (15599405167776).

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

8225700048864 is a wasteful number, since it uses less digits than its factorization.

8225700048864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748933 (or 748922 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 8225700048864 in words is "eight trillion, two hundred twenty-five billion, seven hundred million, forty-eight thousand, eight hundred sixty-four".