6346341144 has 128 divisors (see below), whose sum is σ = 20710771200. Its totient is φ = 1775191680.

The previous prime is 6346341137. The next prime is 6346341151. The reversal of 6346341144 is 4411436436.

6346341144 is a `hidden beast` number, since 6 + 3 + 4 + 634 + 1 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6346341137) and next prime (6346341151).

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 junction number, because it is equal to n+sod(n) for n = 6346341099 and 6346341108.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71844 + ... + 133619.

It is an arithmetic number, because the mean of its divisors is an integer number (161802900).

Almost surely, 2^6346341144 is an apocalyptic number.

It is an amenable number.

6346341144 is an abundant number, since it is smaller than the sum of its proper divisors (14364430056).

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

6346341144 is a wasteful number, since it uses less digits than its factorization.

6346341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205502 (or 205492 counting only the distinct ones).

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

The square root of 6346341144 is about 79663.9262401747. The cubic root of 6346341144 is about 1851.4321653247.

The spelling of 6346341144 in words is "six billion, three hundred forty-six million, three hundred forty-one thousand, one hundred forty-four".