12839770944 has 672 divisors, whose sum is σ = 51048391680. Its totient is φ = 3073075200.

The previous prime is 12839770943. The next prime is 12839770997. The reversal of 12839770944 is 44907793821.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12839770944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839770943) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22486179 + ... + 22486749.

Almost surely, 2^12839770944 is an apocalyptic number.

12839770944 is a gapful number since it is divisible by the number (14) 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 12839770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25524195840).

12839770944 is an abundant number, since it is smaller than the sum of its proper divisors (38208620736).

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

12839770944 is a wasteful number, since it uses less digits than its factorization.

12839770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12839770944 in words is "twelve billion, eight hundred thirty-nine million, seven hundred seventy thousand, nine hundred forty-four".