13065969337344 has 1485 divisors, whose sum is σ = 50196959024751. Its totient is φ = 3372937666560.

The previous prime is 13065969337339. The next prime is 13065969337361. The reversal of 13065969337344 is 44373396956031.

The square root of 13065969337344 is 3614688.

It is a perfect power (a square), and thus also a powerful number.

13065969337344 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 596 + 9 + 3 + 3 + 7 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 80159321007 + ... + 80159321169.

Almost surely, 2^{13065969337344} is an apocalyptic number.

13065969337344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13065969337344 is the 3614688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065969337344

13065969337344 is an abundant number, since it is smaller than the sum of its proper divisors (37130989687407).

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

13065969337344 is an equidigital number, since it uses as much as digits as its factorization.

13065969337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 13065969337344 in words is "thirteen trillion, sixty-five billion, nine hundred sixty-nine million, three hundred thirty-seven thousand, three hundred forty-four".