13489951608672 has 2304 divisors, whose sum is σ = 52019504087040. Its totient is φ = 2961100800000.

The previous prime is 13489951608557. The next prime is 13489951608713. The reversal of 13489951608672 is 27680615998431.

It is a junction number, because it is equal to n+sod(n) for n = 13489951608597 and 13489951608606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89337427797 + ... + 89337427947.

It is an arithmetic number, because the mean of its divisors is an integer number (22577909760).

It is a 1-persistent number, because it is pandigital, but 2⋅13489951608672 = 26979903217344 is not.

Almost surely, 2^{13489951608672} is an apocalyptic number.

13489951608672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13489951608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26009752043520).

13489951608672 is an abundant number, since it is smaller than the sum of its proper divisors (38529552478368).

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

13489951608672 is a wasteful number, since it uses less digits than its factorization.

13489951608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 13489951608672 in words is "thirteen trillion, four hundred eighty-nine billion, nine hundred fifty-one million, six hundred eight thousand, six hundred seventy-two".