1312662917664 has 864 divisors, whose sum is σ = 4644661222656. Its totient is φ = 349862768640.

The previous prime is 1312662917659. The next prime is 1312662917669. The reversal of 1312662917664 is 4667192662131.

It is a happy number.

1312662917664 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 629 + 1 + 7 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1312662917659) and next prime (1312662917669).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1312662917664.

It is not an unprimeable number, because it can be changed into a prime (1312662917669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3306455514 + ... + 3306455910.

It is an arithmetic number, because the mean of its divisors is an integer number (5375765304).

Almost surely, 2^{1312662917664} is an apocalyptic number.

1312662917664 is a gapful number since it is divisible by the number (14) 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 1312662917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322330611328).

1312662917664 is an abundant number, since it is smaller than the sum of its proper divisors (3331998304992).

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

1312662917664 is a wasteful number, since it uses less digits than its factorization.

1312662917664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

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

The spelling of 1312662917664 in words is "one trillion, three hundred twelve billion, six hundred sixty-two million, nine hundred seventeen thousand, six hundred sixty-four".