13626946681472 has 128 divisors (see below), whose sum is σ = 28834835328000. Its totient is φ = 6406137593856.

The previous prime is 13626946681441. The next prime is 13626946681507. The reversal of 13626946681472 is 27418664962631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13626946681399 and 13626946681408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17197304 + ... + 17972232.

It is an arithmetic number, because the mean of its divisors is an integer number (225272151000).

Almost surely, 2^{13626946681472} 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 13626946681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417417664000).

13626946681472 is an abundant number, since it is smaller than the sum of its proper divisors (15207888646528).

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

13626946681472 is an equidigital number, since it uses as much as digits as its factorization.

13626946681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775106 (or 775094 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 65.

The spelling of 13626946681472 in words is "thirteen trillion, six hundred twenty-six billion, nine hundred forty-six million, six hundred eighty-one thousand, four hundred seventy-two".