1311648534144 has 192 divisors, whose sum is σ = 4278678986400. Its totient is φ = 382342809600.

The previous prime is 1311648534139. The next prime is 1311648534149. The reversal of 1311648534144 is 4414358461131.

1311648534144 is a `hidden beast` number, since 1 + 3 + 11 + 64 + 8 + 534 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1311648534139) and next prime (1311648534149).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1311648534144.

It is not an unprimeable number, because it can be changed into a prime (1311648534149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020282 + ... + 2589369.

Almost surely, 2^{1311648534144} is an apocalyptic number.

It is an amenable number.

1311648534144 is an abundant number, since it is smaller than the sum of its proper divisors (2967030452256).

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

1311648534144 is a wasteful number, since it uses less digits than its factorization.

1311648534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609703 (or 4609688 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 1311648534144 in words is "one trillion, three hundred eleven billion, six hundred forty-eight million, five hundred thirty-four thousand, one hundred forty-four".