1306691232768 has 308 divisors, whose sum is σ = 4022300836380. Its totient is φ = 423782793216.

The previous prime is 1306691232767. The next prime is 1306691232809. The reversal of 1306691232768 is 8672321966031.

1306691232768 is a `hidden beast` number, since 1 + 306 + 6 + 9 + 1 + 2 + 327 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 663820821504 + 642870411264 = 814752^2 + 801792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1306691232767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27596698 + ... + 27644006.

Almost surely, 2^{1306691232768} is an apocalyptic number.

1306691232768 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 1306691232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011150418190).

1306691232768 is an abundant number, since it is smaller than the sum of its proper divisors (2715609603612).

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

1306691232768 is an frugal number, since it uses more digits than its factorization.

1306691232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47384 (or 47351 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1306691232768 in words is "one trillion, three hundred six billion, six hundred ninety-one million, two hundred thirty-two thousand, seven hundred sixty-eight".