13846773006 has 96 divisors (see below), whose sum is σ = 33273732960. Its totient is φ = 4126464000.

The previous prime is 13846772993. The next prime is 13846773077. The reversal of 13846773006 is 60037764831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5794860 + ... + 5797248.

It is an arithmetic number, because the mean of its divisors is an integer number (346601385).

Almost surely, 2^13846773006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13846773006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636866480).

13846773006 is an abundant number, since it is smaller than the sum of its proper divisors (19426959954).

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

13846773006 is a wasteful number, since it uses less digits than its factorization.

13846773006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13846773006 in words is "thirteen billion, eight hundred forty-six million, seven hundred seventy-three thousand, six".