13465668096 has 280 divisors, whose sum is σ = 41326417440. Its totient is φ = 4378945536.

The previous prime is 13465668079. The next prime is 13465668101. The reversal of 13465668096 is 69086656431.

13465668096 is a `hidden beast` number, since 13 + 465 + 6 + 6 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16049245 + ... + 16050083.

It is an arithmetic number, because the mean of its divisors is an integer number (147594348).

Almost surely, 2^13465668096 is an apocalyptic number.

13465668096 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 13465668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20663208720).

13465668096 is an abundant number, since it is smaller than the sum of its proper divisors (27860749344).

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

13465668096 is an frugal number, since it uses more digits than its factorization.

13465668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13465668096 in words is "thirteen billion, four hundred sixty-five million, six hundred sixty-eight thousand, ninety-six".