13748643648 has 224 divisors, whose sum is σ = 42936566400. Its totient is φ = 4299153408.

The previous prime is 13748643613. The next prime is 13748643653. The reversal of 13748643648 is 84634684731.

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

It is a junction number, because it is equal to n+sod(n) for n = 13748643594 and 13748643603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12307986 + ... + 12309102.

It is an arithmetic number, because the mean of its divisors is an integer number (191681100).

Almost surely, 2^13748643648 is an apocalyptic number.

13748643648 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 13748643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468283200).

13748643648 is an abundant number, since it is smaller than the sum of its proper divisors (29187922752).

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

13748643648 is a wasteful number, since it uses less digits than its factorization.

13748643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1558 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 13748643648 in words is "thirteen billion, seven hundred forty-eight million, six hundred forty-three thousand, six hundred forty-eight".