13249251648 has 280 divisors, whose sum is σ = 41905809000. Its totient is φ = 4124639232.

The previous prime is 13249251629. The next prime is 13249251707. The reversal of 13249251648 is 84615294231.

13249251648 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 92 + 516 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 649638144 + 12599613504 = 25488^2 + 112248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13130568 + ... + 13131576.

Almost surely, 2^13249251648 is an apocalyptic number.

13249251648 is a gapful number since it is divisible by the number (18) 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 13249251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20952904500).

13249251648 is an abundant number, since it is smaller than the sum of its proper divisors (28656557352).

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

13249251648 is a wasteful number, since it uses less digits than its factorization.

13249251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1180 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 13249251648 in words is "thirteen billion, two hundred forty-nine million, two hundred fifty-one thousand, six hundred forty-eight".