13268271744 has 800 divisors, whose sum is σ = 50817814740. Its totient is φ = 3413975040.

The previous prime is 13268271721. The next prime is 13268271791. The reversal of 13268271744 is 44717286231.

It can be written as a sum of positive squares in 2 ways, for example, as 10467745344 + 2800526400 = 102312^2 + 52920^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13268271744.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 323616364 + ... + 323616404.

Almost surely, 2^13268271744 is an apocalyptic number.

13268271744 is a gapful number since it is divisible by the number (14) 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 13268271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408907370).

13268271744 is an abundant number, since it is smaller than the sum of its proper divisors (37549542996).

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

13268271744 is an frugal number, since it uses more digits than its factorization.

13268271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 13268271744 in words is "thirteen billion, two hundred sixty-eight million, two hundred seventy-one thousand, seven hundred forty-four".