12853649449368 has 384 divisors, whose sum is σ = 44350074961920. Its totient is φ = 3272373457920.

The previous prime is 12853649449367. The next prime is 12853649449393. The reversal of 12853649449368 is 86394494635821.

12853649449368 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 36 + 49 + 4 + 493 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12853649449296 and 12853649449305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12853649449367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30579103 + ... + 30996593.

It is an arithmetic number, because the mean of its divisors is an integer number (115494986880).

Almost surely, 2^{12853649449368} is an apocalyptic number.

12853649449368 is a gapful number since it is divisible by the number (18) 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 12853649449368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175037480960).

12853649449368 is an abundant number, since it is smaller than the sum of its proper divisors (31496425512552).

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

12853649449368 is a wasteful number, since it uses less digits than its factorization.

12853649449368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417687 (or 417680 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 12853649449368 in words is "twelve trillion, eight hundred fifty-three billion, six hundred forty-nine million, four hundred forty-nine thousand, three hundred sixty-eight".