8281107023904 has 864 divisors, whose sum is σ = 29237122212480. Its totient is φ = 2290065592320.

The previous prime is 8281107023873. The next prime is 8281107023909. The reversal of 8281107023904 is 4093207011828.

It is a happy number.

8281107023904 is a `hidden beast` number, since 82 + 8 + 110 + 70 + 2 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 8281107023904.

It is not an unprimeable number, because it can be changed into a prime (8281107023909) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1088612869 + ... + 1088620475.

It is an arithmetic number, because the mean of its divisors is an integer number (33839261820).

Almost surely, 2^{8281107023904} 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 8281107023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618561106240).

8281107023904 is an abundant number, since it is smaller than the sum of its proper divisors (20956015188576).

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

8281107023904 is a wasteful number, since it uses less digits than its factorization.

8281107023904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8281107023904 in words is "eight trillion, two hundred eighty-one billion, one hundred seven million, twenty-three thousand, nine hundred four".