6134444316 has 144 divisors (see below), whose sum is σ = 20820054528. Its totient is φ = 1470787200.

The previous prime is 6134444311. The next prime is 6134444353.

6134444316 is a `hidden beast` number, since 613 + 4 + 4 + 4 + 4 + 31 + 6 = 666.

6134444316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6134444316² = 75262814132209415712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134444311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49080 + ... + 121151.

It is an arithmetic number, because the mean of its divisors is an integer number (144583712).

Almost surely, 2^6134444316 is an apocalyptic number.

6134444316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6134444316 is an abundant number, since it is smaller than the sum of its proper divisors (14685610212).

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

6134444316 is a wasteful number, since it uses less digits than its factorization.

6134444316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170272 (or 170267 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6134444316 is about 78322.6934930101. The cubic root of 6134444316 is about 1830.5927704354.

The spelling of 6134444316 in words is "six billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred sixteen".