1306609714368 has 1120 divisors, whose sum is σ = 4910752281600. Its totient is φ = 335224479744.

The previous prime is 1306609714313. The next prime is 1306609714393. The reversal of 1306609714368 is 8634179066031.

It is a happy number.

1306609714368 is a `hidden beast` number, since 13 + 0 + 6 + 609 + 7 + 14 + 3 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 895550823 + ... + 895552281.

Almost surely, 2^{1306609714368} is an apocalyptic number.

1306609714368 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 1306609714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455376140800).

1306609714368 is an abundant number, since it is smaller than the sum of its proper divisors (3604142567232).

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

1306609714368 is a wasteful number, since it uses less digits than its factorization.

1306609714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1560 counting only the distinct ones).

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

The spelling of 1306609714368 in words is "one trillion, three hundred six billion, six hundred nine million, seven hundred fourteen thousand, three hundred sixty-eight".