6117942138 has 128 divisors (see below), whose sum is σ = 16104960000. Its totient is φ = 1534115520.

The previous prime is 6117942137. The next prime is 6117942139. The reversal of 6117942138 is 8312497116.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6117942137) and next prime (6117942139).

It is a super-3 number, since 3×6117942138³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6117942138.

It is not an unprimeable number, because it can be changed into a prime (6117942137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651843 + ... + 661161.

It is an arithmetic number, because the mean of its divisors is an integer number (125820000).

Almost surely, 2^6117942138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117942138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052480000).

6117942138 is an abundant number, since it is smaller than the sum of its proper divisors (9987017862).

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

6117942138 is a wasteful number, since it uses less digits than its factorization.

6117942138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9371 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 6117942138 is about 78217.2751890527. The cubic root of 6117942138 is about 1828.9498128017.

The spelling of 6117942138 in words is "six billion, one hundred seventeen million, nine hundred forty-two thousand, one hundred thirty-eight".