1306171066368 has 192 divisors, whose sum is σ = 4108122869760. Its totient is φ = 361152921600.

The previous prime is 1306171066331. The next prime is 1306171066379. The reversal of 1306171066368 is 8636601716031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1306171066368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 843403 + ... + 1823093.

It is an arithmetic number, because the mean of its divisors is an integer number (21396473280).

Almost surely, 2^{1306171066368} 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 1306171066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054061434880).

1306171066368 is an abundant number, since it is smaller than the sum of its proper divisors (2801951803392).

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

1306171066368 is an equidigital number, since it uses as much as digits as its factorization.

1306171066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979754 (or 979734 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1306171066368 in words is "one trillion, three hundred six billion, one hundred seventy-one million, sixty-six thousand, three hundred sixty-eight".