12735848384 has 112 divisors (see below), whose sum is σ = 30697578432. Its totient is φ = 5117755392.

The previous prime is 12735848353. The next prime is 12735848387. The reversal of 12735848384 is 48384853721.

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

It is a super-3 number, since 3×12735848384³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735848387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106614 + ... + 2112650.

Almost surely, 2^12735848384 is an apocalyptic number.

12735848384 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 12735848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348789216).

12735848384 is an abundant number, since it is smaller than the sum of its proper divisors (17961730048).

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

12735848384 is a wasteful number, since it uses less digits than its factorization.

12735848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6340 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 53.

The spelling of 12735848384 in words is "twelve billion, seven hundred thirty-five million, eight hundred forty-eight thousand, three hundred eighty-four".