13006456848 has 640 divisors, whose sum is σ = 48996864000. Its totient is φ = 3204956160.

The previous prime is 13006456787. The next prime is 13006456867. The reversal of 13006456848 is 84865460031.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93571563 + ... + 93571701.

It is an arithmetic number, because the mean of its divisors is an integer number (76557600).

Almost surely, 2^13006456848 is an apocalyptic number.

13006456848 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 13006456848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432000).

13006456848 is an abundant number, since it is smaller than the sum of its proper divisors (35990407152).

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

13006456848 is a wasteful number, since it uses less digits than its factorization.

13006456848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13006456848 in words is "thirteen billion, six million, four hundred fifty-six thousand, eight hundred forty-eight".