1311423362144 has 96 divisors (see below), whose sum is σ = 3046475980800. Its totient is φ = 543803051520.

The previous prime is 1311423362131. The next prime is 1311423362147. The reversal of 1311423362144 is 4412633241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311423362147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43239017 + ... + 43269335.

It is an arithmetic number, because the mean of its divisors is an integer number (31734124800).

Almost surely, 2^{1311423362144} is an apocalyptic number.

1311423362144 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 1311423362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523237990400).

1311423362144 is an abundant number, since it is smaller than the sum of its proper divisors (1735052618656).

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

1311423362144 is a wasteful number, since it uses less digits than its factorization.

1311423362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36596 (or 36588 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The spelling of 1311423362144 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, three hundred sixty-two thousand, one hundred forty-four".