13391711424 has 336 divisors, whose sum is σ = 48728010240. Its totient is φ = 3531340800.

The previous prime is 13391711419. The next prime is 13391711477. The reversal of 13391711424 is 42411719331.

It is a happy number.

13391711424 is a `hidden beast` number, since 133 + 91 + 7 + 11 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040949 + ... + 2047499.

It is an arithmetic number, because the mean of its divisors is an integer number (145023840).

Almost surely, 2^13391711424 is an apocalyptic number.

13391711424 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 13391711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24364005120).

13391711424 is an abundant number, since it is smaller than the sum of its proper divisors (35336298816).

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

13391711424 is a wasteful number, since it uses less digits than its factorization.

13391711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6576 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 13391711424 in words is "thirteen billion, three hundred ninety-one million, seven hundred eleven thousand, four hundred twenty-four".