13431758761344 has 512 divisors, whose sum is σ = 45148665323520. Its totient is φ = 3436554240000.

The previous prime is 13431758761237. The next prime is 13431758761357. The reversal of 13431758761344 is 44316785713431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3197274444 + ... + 3197278644.

It is an arithmetic number, because the mean of its divisors is an integer number (88180986960).

Almost surely, 2^{13431758761344} is an apocalyptic number.

13431758761344 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 13431758761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22574332661760).

13431758761344 is an abundant number, since it is smaller than the sum of its proper divisors (31716906562176).

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

13431758761344 is a wasteful number, since it uses less digits than its factorization.

13431758761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5818 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 13431758761344 in words is "thirteen trillion, four hundred thirty-one billion, seven hundred fifty-eight million, seven hundred sixty-one thousand, three hundred forty-four".