13263080465664 has 576 divisors, whose sum is σ = 41080640348160. Its totient is φ = 4268576102400.

The previous prime is 13263080465651. The next prime is 13263080465711. The reversal of 13263080465664 is 46656408036231.

13263080465664 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 30 + 8 + 0 + 46 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13263080465664.

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, 13659196699 + ... + 13659197669.

It is an arithmetic number, because the mean of its divisors is an integer number (71320556160).

Almost surely, 2^{13263080465664} 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 13263080465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540320174080).

13263080465664 is an abundant number, since it is smaller than the sum of its proper divisors (27817559882496).

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

13263080465664 is an frugal number, since it uses more digits than its factorization.

13263080465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 13263080465664 in words is "thirteen trillion, two hundred sixty-three billion, eighty million, four hundred sixty-five thousand, six hundred sixty-four".