8138067882408 has 144 divisors (see below), whose sum is σ = 23330737303380. Its totient is φ = 2562287551488.

The previous prime is 8138067882391. The next prime is 8138067882409. The reversal of 8138067882408 is 8042887608318.

8138067882408 is a `hidden beast` number, since 8 + 1 + 3 + 80 + 6 + 78 + 82 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8091988108164 + 46079774244 = 2844642^2 + 214662^2 .

It is not an unprimeable number, because it can be changed into a prime (8138067882409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8294766 + ... + 9223842.

Almost surely, 2^{8138067882408} 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 8138067882408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665368651690).

8138067882408 is an abundant number, since it is smaller than the sum of its proper divisors (15192669420972).

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

8138067882408 is a wasteful number, since it uses less digits than its factorization.

8138067882408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929464 (or 929438 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 8138067882408 in words is "eight trillion, one hundred thirty-eight billion, sixty-seven million, eight hundred eighty-two thousand, four hundred eight".