13405091616 has 288 divisors, whose sum is σ = 44761167360. Its totient is φ = 3726508032.

The previous prime is 13405091611. The next prime is 13405091627. The reversal of 13405091616 is 61619050431.

13405091616 is a `hidden beast` number, since 1 + 34 + 0 + 5 + 0 + 9 + 1 + 616 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (13405091611) 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, 11625696 + ... + 11626848.

It is an arithmetic number, because the mean of its divisors is an integer number (155420720).

Almost surely, 2^13405091616 is an apocalyptic number.

13405091616 is a gapful number since it is divisible by the number (16) 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 13405091616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380583680).

13405091616 is an abundant number, since it is smaller than the sum of its proper divisors (31356075744).

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

13405091616 is a wasteful number, since it uses less digits than its factorization.

13405091616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13405091616 in words is "thirteen billion, four hundred five million, ninety-one thousand, six hundred sixteen".