13696242048 has 224 divisors, whose sum is σ = 42025762560. Its totient is φ = 4440904704.

The previous prime is 13696242019. The next prime is 13696242107. The reversal of 13696242048 is 84024269631.

13696242048 is a `hidden beast` number, since 1 + 369 + 6 + 242 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13696241994 and 13696242012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3450561 + ... + 3454527.

Almost surely, 2^13696242048 is an apocalyptic number.

13696242048 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 13696242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012881280).

13696242048 is an abundant number, since it is smaller than the sum of its proper divisors (28329520512).

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

13696242048 is an frugal number, since it uses more digits than its factorization.

13696242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13696242048 in words is "thirteen billion, six hundred ninety-six million, two hundred forty-two thousand, forty-eight".