1344013577088 has 384 divisors, whose sum is σ = 4486720079520. Its totient is φ = 353326546944.

The previous prime is 1344013577087. The next prime is 1344013577119. The reversal of 1344013577088 is 8807753104431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1344013577088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344013577087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77532070 + ... + 77549402.

Almost surely, 2^{1344013577088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344013577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243360039760).

1344013577088 is an abundant number, since it is smaller than the sum of its proper divisors (3142706502432).

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

1344013577088 is a wasteful number, since it uses less digits than its factorization.

1344013577088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 1344013577088 in words is "one trillion, three hundred forty-four billion, thirteen million, five hundred seventy-seven thousand, eighty-eight".