13119138663462 has 384 divisors, whose sum is σ = 33582154604544. Its totient is φ = 3667783680000.

The previous prime is 13119138663437. The next prime is 13119138663503. The reversal of 13119138663462 is 26436683191131.

13119138663462 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 91 + 38 + 6 + 63 + 462 = 666.

13119138663462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13119138663462² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13119138663399 and 13119138663408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6523688037 + ... + 6523690047.

It is an arithmetic number, because the mean of its divisors is an integer number (87453527616).

Almost surely, 2^{13119138663462} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13119138663462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791077302272).

13119138663462 is an abundant number, since it is smaller than the sum of its proper divisors (20463015941082).

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

13119138663462 is a wasteful number, since it uses less digits than its factorization.

13119138663462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2785 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13119138663462 in words is "thirteen trillion, one hundred nineteen billion, one hundred thirty-eight million, six hundred sixty-three thousand, four hundred sixty-two".