13148096640 has 256 divisors, whose sum is σ = 48280043520. Its totient is φ = 2981228544.

The previous prime is 13148096593. The next prime is 13148096641. The reversal of 13148096640 is 4669084131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13148096592 and 13148096601.

It is not an unprimeable number, because it can be changed into a prime (13148096641) 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 31 ways as a sum of consecutive naturals, for example, 1703029 + ... + 1710731.

It is an arithmetic number, because the mean of its divisors is an integer number (188593920).

Almost surely, 2^13148096640 is an apocalyptic number.

13148096640 is a gapful number since it is divisible by the number (10) 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 13148096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140021760).

13148096640 is an abundant number, since it is smaller than the sum of its proper divisors (35131946880).

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

13148096640 is a wasteful number, since it uses less digits than its factorization.

13148096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 13148096640 in words is "thirteen billion, one hundred forty-eight million, ninety-six thousand, six hundred forty".