13305697459968 has 576 divisors, whose sum is σ = 39353382512640. Its totient is φ = 3975892107264.

The previous prime is 13305697459927. The next prime is 13305697460059. The reversal of 13305697459968 is 86995479650331.

It is a super-2 number, since 2×13305697459968² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13305697459968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15598707030 + ... + 15598707882.

It is an arithmetic number, because the mean of its divisors is an integer number (68321844640).

Almost surely, 2^{13305697459968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305697459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676691256320).

13305697459968 is an abundant number, since it is smaller than the sum of its proper divisors (26047685052672).

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

13305697459968 is a wasteful number, since it uses less digits than its factorization.

13305697459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 75.

The spelling of 13305697459968 in words is "thirteen trillion, three hundred five billion, six hundred ninety-seven million, four hundred fifty-nine thousand, nine hundred sixty-eight".