1318946291712 has 600 divisors, whose sum is σ = 4699913936256. Its totient is φ = 360398979072.

The previous prime is 1318946291653. The next prime is 1318946291713. The reversal of 1318946291712 is 2171926498131.

1318946291712 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 4 + 629 + 1 + 7 + 1 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318946291713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213660658 + ... + 213666830.

Almost surely, 2^{1318946291712} is an apocalyptic number.

1318946291712 is a gapful number since it is divisible by the number (12) 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 1318946291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349956968128).

1318946291712 is an abundant number, since it is smaller than the sum of its proper divisors (3380967644544).

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

1318946291712 is an frugal number, since it uses more digits than its factorization.

1318946291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243 (or 6208 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 1318946291712 in words is "one trillion, three hundred eighteen billion, nine hundred forty-six million, two hundred ninety-one thousand, seven hundred twelve".