1311226527744 has 765 divisors, whose sum is σ = 4622135060631. Its totient is φ = 369359585280.

The previous prime is 1311226527727. The next prime is 1311226527881. The reversal of 1311226527744 is 4477256221131.

The square root of 1311226527744 is 1145088.

It is a perfect power (a square), and thus also a powerful number.

1311226527744 is a `hidden beast` number, since 1 + 3 + 112 + 2 + 6 + 527 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1311226527744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18467979229 + ... + 18467979299.

Almost surely, 2^{1311226527744} is an apocalyptic number.

1311226527744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1311226527744 is the 1145088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311226527744

1311226527744 is an abundant number, since it is smaller than the sum of its proper divisors (3310908532887).

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

1311226527744 is an frugal number, since it uses more digits than its factorization.

1311226527744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 83 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 1311226527744 in words is "one trillion, three hundred eleven billion, two hundred twenty-six million, five hundred twenty-seven thousand, seven hundred forty-four".