13269441714048 has 1152 divisors, whose sum is σ = 45476946432000. Its totient is φ = 3806317412352.

The previous prime is 13269441713999. The next prime is 13269441714071. The reversal of 13269441714048 is 84041714496231.

It is a happy number.

13269441714048 is a `hidden beast` number, since 1 + 3 + 2 + 69 + 4 + 4 + 171 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13269441713985 and 13269441714003.

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, 21436900683 + ... + 21436901301.

It is an arithmetic number, because the mean of its divisors is an integer number (39476516000).

Almost surely, 2^{13269441714048} is an apocalyptic number.

13269441714048 is a gapful number since it is divisible by the number (18) 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 13269441714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738473216000).

13269441714048 is an abundant number, since it is smaller than the sum of its proper divisors (32207504717952).

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

13269441714048 is a wasteful number, since it uses less digits than its factorization.

13269441714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13269441714048 in words is "thirteen trillion, two hundred sixty-nine billion, four hundred forty-one million, seven hundred fourteen thousand, forty-eight".