13393755648 has 720 divisors, whose sum is σ = 50515985520. Its totient is φ = 3532419072.

The previous prime is 13393755611. The next prime is 13393755679. The reversal of 13393755648 is 84655739331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13393755648 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 3 + 75 + 564 + 8 = 666.

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

Its product of digits (8164800) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 13393755594 and 13393755603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1030288890 + ... + 1030288902.

It is an arithmetic number, because the mean of its divisors is an integer number (70161091).

Almost surely, 2^13393755648 is an apocalyptic number.

13393755648 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 13393755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257992760).

13393755648 is an abundant number, since it is smaller than the sum of its proper divisors (37122229872).

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

13393755648 is an frugal number, since it uses more digits than its factorization.

13393755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 13393755648 in words is "thirteen billion, three hundred ninety-three million, seven hundred fifty-five thousand, six hundred forty-eight".