13217962352064 has 224 divisors, whose sum is σ = 37006723852800. Its totient is φ = 4152181616640.

The previous prime is 13217962351963. The next prime is 13217962352129. The reversal of 13217962352064 is 46025326971231.

It is a junction number, because it is equal to n+sod(n) for n = 13217962351998 and 13217962352016.

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, 1033373509 + ... + 1033386299.

Almost surely, 2^{13217962352064} 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 13217962352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503361926400).

13217962352064 is an abundant number, since it is smaller than the sum of its proper divisors (23788761500736).

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

13217962352064 is a wasteful number, since it uses less digits than its factorization.

13217962352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14291 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 13217962352064 in words is "thirteen trillion, two hundred seventeen billion, nine hundred sixty-two million, three hundred fifty-two thousand, sixty-four".