13006494938784 has 96 divisors (see below), whose sum is σ = 35248345896960. Its totient is φ = 4195055404800.

The previous prime is 13006494938783. The next prime is 13006494938791. The reversal of 13006494938784 is 48783949460031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13006494938784² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13006494938783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21181039 + ... + 21786449.

It is an arithmetic number, because the mean of its divisors is an integer number (367170269760).

Almost surely, 2^{13006494938784} 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 13006494938784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624172948480).

13006494938784 is an abundant number, since it is smaller than the sum of its proper divisors (22241850958176).

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

13006494938784 is a wasteful number, since it uses less digits than its factorization.

13006494938784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612674 (or 612666 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 13006494938784 in words is "thirteen trillion, six billion, four hundred ninety-four million, nine hundred thirty-eight thousand, seven hundred eighty-four".