13691490912 has 288 divisors, whose sum is σ = 44810962560. Its totient is φ = 4077112320.

The previous prime is 13691490893. The next prime is 13691490919. The reversal of 13691490912 is 21909419631.

13691490912 is a `hidden beast` number, since 13 + 69 + 1 + 490 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13691490919) 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, 5045268 + ... + 5047980.

It is an arithmetic number, because the mean of its divisors is an integer number (155593620).

Almost surely, 2^13691490912 is an apocalyptic number.

13691490912 is a gapful number since it is divisible by the number (12) 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 13691490912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405481280).

13691490912 is an abundant number, since it is smaller than the sum of its proper divisors (31119471648).

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

13691490912 is a wasteful number, since it uses less digits than its factorization.

13691490912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 13691490912 in words is "thirteen billion, six hundred ninety-one million, four hundred ninety thousand, nine hundred twelve".