13441672164096 has 1296 divisors, whose sum is σ = 46936678763520. Its totient is φ = 3654599639040.

The previous prime is 13441672164031. The next prime is 13441672164103. The reversal of 13441672164096 is 69046127614431.

It is a happy number.

13441672164096 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 16 + 7 + 216 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37441983565 + ... + 37441983923.

It is an arithmetic number, because the mean of its divisors is an integer number (36216573120).

Almost surely, 2^{13441672164096} is an apocalyptic number.

13441672164096 is a gapful number since it is divisible by the number (16) 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 13441672164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468339381760).

13441672164096 is an abundant number, since it is smaller than the sum of its proper divisors (33495006599424).

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

13441672164096 is a wasteful number, since it uses less digits than its factorization.

13441672164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13441672164096 in words is "thirteen trillion, four hundred forty-one billion, six hundred seventy-two million, one hundred sixty-four thousand, ninety-six".