8138103527312 has 160 divisors (see below), whose sum is σ = 18015338373120. Its totient is φ = 3525223680000.

The previous prime is 8138103527303. The next prime is 8138103527329. The reversal of 8138103527312 is 2137253018318.

It is a super-3 number, since 3×8138103527312³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608636239 + ... + 1608641297.

It is an arithmetic number, because the mean of its divisors is an integer number (112595864832).

Almost surely, 2^{8138103527312} 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 8138103527312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007669186560).

8138103527312 is an abundant number, since it is smaller than the sum of its proper divisors (9877234845808).

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

8138103527312 is a wasteful number, since it uses less digits than its factorization.

8138103527312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 8138103527312 in words is "eight trillion, one hundred thirty-eight billion, one hundred three million, five hundred twenty-seven thousand, three hundred twelve".