13705038648 has 192 divisors, whose sum is σ = 46580002560. Its totient is φ = 3685326336.

The previous prime is 13705038643. The next prime is 13705038661. The reversal of 13705038648 is 84683050731.

13705038648 is a `hidden beast` number, since 13 + 70 + 503 + 8 + 64 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705038643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201715 + ... + 260957.

It is an arithmetic number, because the mean of its divisors is an integer number (242604180).

Almost surely, 2^13705038648 is an apocalyptic number.

13705038648 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 13705038648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290001280).

13705038648 is an abundant number, since it is smaller than the sum of its proper divisors (32874963912).

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

13705038648 is a wasteful number, since it uses less digits than its factorization.

13705038648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59288 (or 59272 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13705038648 in words is "thirteen billion, seven hundred five million, thirty-eight thousand, six hundred forty-eight".