13597681248 has 192 divisors, whose sum is σ = 40339434240. Its totient is φ = 4511168640.

The previous prime is 13597681193. The next prime is 13597681297. The reversal of 13597681248 is 84218679531.

13597681248 is a `hidden beast` number, since 1 + 3 + 597 + 6 + 8 + 1 + 2 + 48 = 666.

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 = 13597681194 and 13597681203.

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, 23164411 + ... + 23164997.

It is an arithmetic number, because the mean of its divisors is an integer number (210101220).

Almost surely, 2^13597681248 is an apocalyptic number.

13597681248 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 13597681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169717120).

13597681248 is an abundant number, since it is smaller than the sum of its proper divisors (26741752992).

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

13597681248 is an frugal number, since it uses more digits than its factorization.

13597681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 923 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 13597681248 in words is "thirteen billion, five hundred ninety-seven million, six hundred eighty-one thousand, two hundred forty-eight".