8123258728368 has 640 divisors, whose sum is σ = 28388316364800. Its totient is φ = 2172357107712.

The previous prime is 8123258728219. The next prime is 8123258728391. The reversal of 8123258728368 is 8638278523218.

It is a happy number.

8123258728368 is a `hidden beast` number, since 8 + 1 + 23 + 2 + 587 + 28 + 3 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5054920621 + ... + 5054922227.

It is an arithmetic number, because the mean of its divisors is an integer number (44356744320).

Almost surely, 2^{8123258728368} 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 8123258728368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194158182400).

8123258728368 is an abundant number, since it is smaller than the sum of its proper divisors (20265057636432).

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

8123258728368 is a wasteful number, since it uses less digits than its factorization.

8123258728368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2642 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 8123258728368 in words is "eight trillion, one hundred twenty-three billion, two hundred fifty-eight million, seven hundred twenty-eight thousand, three hundred sixty-eight".