1349331691344 has 480 divisors, whose sum is σ = 4637607924096. Its totient is φ = 333924433920.

The previous prime is 1349331691313. The next prime is 1349331691369. The reversal of 1349331691344 is 4431961339431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180364084 + ... + 180371564.

Almost surely, 2^{1349331691344} is an apocalyptic number.

1349331691344 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 1349331691344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318803962048).

1349331691344 is an abundant number, since it is smaller than the sum of its proper divisors (3288276232752).

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

1349331691344 is a wasteful number, since it uses less digits than its factorization.

1349331691344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7870 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 51.

The spelling of 1349331691344 in words is "one trillion, three hundred forty-nine billion, three hundred thirty-one million, six hundred ninety-one thousand, three hundred forty-four".