6138229571840 has 144 divisors (see below), whose sum is σ = 14846626090800. Its totient is φ = 2431343394816.

The previous prime is 6138229571839. The next prime is 6138229571857. The reversal of 6138229571840 is 481759228316.

It can be written as a sum of positive squares in 8 ways, for example, as 1693621137664 + 4444608434176 = 1301392^2 + 2108224^2 .

It is a super-2 number, since 2×6138229571840² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163279766 + ... + 163317354.

It is an arithmetic number, because the mean of its divisors is an integer number (103101570075).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6138229571840 = 12276459143680, but 3⋅6138229571840 = 18414688715520 is not.

Almost surely, 2^{6138229571840} 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 6138229571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423313045400).

6138229571840 is an abundant number, since it is smaller than the sum of its proper divisors (8708396518960).

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

6138229571840 is a wasteful number, since it uses less digits than its factorization.

6138229571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38852 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 6138229571840 in words is "six trillion, one hundred thirty-eight billion, two hundred twenty-nine million, five hundred seventy-one thousand, eight hundred forty".