13455681696 has 288 divisors, whose sum is σ = 42387967440. Its totient is φ = 4029677568.

The previous prime is 13455681691. The next prime is 13455681739. The reversal of 13455681696 is 69618655431.

13455681696 is a `hidden beast` number, since 1 + 3 + 4 + 556 + 81 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11542494096 + 1913187600 = 107436^2 + 43740^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13455681691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13771960 + ... + 13772936.

Almost surely, 2^13455681696 is an apocalyptic number.

13455681696 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 13455681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193983720).

13455681696 is an abundant number, since it is smaller than the sum of its proper divisors (28932285744).

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

13455681696 is a wasteful number, since it uses less digits than its factorization.

13455681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1125 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 13455681696 in words is "thirteen billion, four hundred fifty-five million, six hundred eighty-one thousand, six hundred ninety-six".