13648322772 has 240 divisors, whose sum is σ = 43996296960. Its totient is φ = 3600350208.

The previous prime is 13648322729. The next prime is 13648322773. The reversal of 13648322772 is 27722384631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648322773) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2040129 + ... + 2046807.

It is an arithmetic number, because the mean of its divisors is an integer number (183317904).

Almost surely, 2^13648322772 is an apocalyptic number.

13648322772 is a gapful number since it is divisible by the number (12) 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 13648322772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998148480).

13648322772 is an abundant number, since it is smaller than the sum of its proper divisors (30347974188).

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

13648322772 is a wasteful number, since it uses less digits than its factorization.

13648322772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6761 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 13648322772 in words is "thirteen billion, six hundred forty-eight million, three hundred twenty-two thousand, seven hundred seventy-two".