13148522688 has 224 divisors, whose sum is σ = 40473538560. Its totient is φ = 3689763840.

The previous prime is 13148522641. The next prime is 13148522689. The reversal of 13148522688 is 88622584131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13148522689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34692483 + ... + 34692861.

It is an arithmetic number, because the mean of its divisors is an integer number (180685440).

Almost surely, 2^13148522688 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 13148522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236769280).

13148522688 is an abundant number, since it is smaller than the sum of its proper divisors (27325015872).

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

13148522688 is a wasteful number, since it uses less digits than its factorization.

13148522688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 13148522688 in words is "thirteen billion, one hundred forty-eight million, five hundred twenty-two thousand, six hundred eighty-eight".