13408976518326 has 128 divisors (see below), whose sum is σ = 30263644569600. Its totient is φ = 4400338188960.

The previous prime is 13408976518321. The next prime is 13408976518337. The reversal of 13408976518326 is 62381567980431.

13408976518326 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 8 + 97 + 6 + 518 + 3 + 26 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408976518321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 907783321 + ... + 907798091.

It is an arithmetic number, because the mean of its divisors is an integer number (236434723200).

It is a 1-persistent number, because it is pandigital, but 2⋅13408976518326 = 26817953036652 is not.

Almost surely, 2^{13408976518326} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13408976518326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131822284800).

13408976518326 is an abundant number, since it is smaller than the sum of its proper divisors (16854668051274).

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

13408976518326 is a wasteful number, since it uses less digits than its factorization.

13408976518326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 13408976518326 in words is "thirteen trillion, four hundred eight billion, nine hundred seventy-six million, five hundred eighteen thousand, three hundred twenty-six".