1345144495872 has 144 divisors (see below), whose sum is σ = 3806506206720. Its totient is φ = 420239425536.

The previous prime is 1345144495867. The next prime is 1345144495873. The reversal of 1345144495872 is 2785944415431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345144495873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904843 + ... + 3335925.

It is an arithmetic number, because the mean of its divisors is an integer number (26434070880).

Almost surely, 2^{1345144495872} is an apocalyptic number.

1345144495872 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 1345144495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903253103360).

1345144495872 is an abundant number, since it is smaller than the sum of its proper divisors (2461361710848).

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

1345144495872 is a wasteful number, since it uses less digits than its factorization.

1345144495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431358 (or 431344 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 1345144495872 in words is "one trillion, three hundred forty-five billion, one hundred forty-four million, four hundred ninety-five thousand, eight hundred seventy-two".