13453376768 has 144 divisors (see below), whose sum is σ = 30749208336. Its totient is φ = 5819596800.

The previous prime is 13453376767. The next prime is 13453376801. The reversal of 13453376768 is 86767335431.

It can be written as a sum of positive squares in 8 ways, for example, as 1608972544 + 11844404224 = 40112^2 + 108832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453376767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22686680 + ... + 22687272.

It is an arithmetic number, because the mean of its divisors is an integer number (213536169).

Almost surely, 2^13453376768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13453376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374604168).

13453376768 is an abundant number, since it is smaller than the sum of its proper divisors (17295831568).

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

13453376768 is a wasteful number, since it uses less digits than its factorization.

13453376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1026 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 53.

The spelling of 13453376768 in words is "thirteen billion, four hundred fifty-three million, three hundred seventy-six thousand, seven hundred sixty-eight".