6839682190144 has 84 divisors (see below), whose sum is σ = 14282232344800. Its totient is φ = 3249486662400.

The previous prime is 6839682190073. The next prime is 6839682190223. The reversal of 6839682190144 is 4410912869386.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443307 + ... + 5781205.

Almost surely, 2^{6839682190144} is an apocalyptic number.

6839682190144 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 6839682190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141116172400).

6839682190144 is an abundant number, since it is smaller than the sum of its proper divisors (7442550154656).

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

6839682190144 is a wasteful number, since it uses less digits than its factorization.

6839682190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338108 (or 1338075 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 6839682190144 in words is "six trillion, eight hundred thirty-nine billion, six hundred eighty-two million, one hundred ninety thousand, one hundred forty-four".