13496247648 has 384 divisors, whose sum is σ = 44808422400. Its totient is φ = 3920818176.

The previous prime is 13496247617. The next prime is 13496247659. The reversal of 13496247648 is 84674269431.

13496247648 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 624 + 7 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×13496247648² (a number of 21 digits) contains 22 as substring.

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 = 13496247594 and 13496247603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22991611 + ... + 22992197.

It is an arithmetic number, because the mean of its divisors is an integer number (116688600).

Almost surely, 2^13496247648 is an apocalyptic number.

13496247648 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 13496247648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404211200).

13496247648 is an abundant number, since it is smaller than the sum of its proper divisors (31312174752).

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

13496247648 is a wasteful number, since it uses less digits than its factorization.

13496247648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13496247648 in words is "thirteen billion, four hundred ninety-six million, two hundred forty-seven thousand, six hundred forty-eight".