6845934144 has 112 divisors (see below), whose sum is σ = 20884457088. Its totient is φ = 1938628608.

The previous prime is 6845934143. The next prime is 6845934149. The reversal of 6845934144 is 4414395486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6845934093 and 6845934102.

It is not an unprimeable number, because it can be changed into a prime (6845934143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129334 + ... + 174410.

Almost surely, 2^6845934144 is an apocalyptic number.

6845934144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6845934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442228544).

6845934144 is an abundant number, since it is smaller than the sum of its proper divisors (14038522944).

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

6845934144 is a wasteful number, since it uses less digits than its factorization.

6845934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45212 (or 45202 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 6845934144 is about 82740.1604059359. The cubic root of 6845934144 is about 1898.7927828931.

The spelling of 6845934144 in words is "six billion, eight hundred forty-five million, nine hundred thirty-four thousand, one hundred forty-four".