13309399813248 has 768 divisors, whose sum is σ = 49891375872000. Its totient is φ = 3454015703040.

The previous prime is 13309399813223. The next prime is 13309399813249. The reversal of 13309399813248 is 84231899390331.

13309399813248 is a `hidden beast` number, since 1 + 3 + 309 + 3 + 9 + 9 + 81 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13309399813249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904077965 + ... + 2904082547.

It is an arithmetic number, because the mean of its divisors is an integer number (64962729000).

Almost surely, 2^{13309399813248} is an apocalyptic number.

13309399813248 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 13309399813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945687936000).

13309399813248 is an abundant number, since it is smaller than the sum of its proper divisors (36581976058752).

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

13309399813248 is a wasteful number, since it uses less digits than its factorization.

13309399813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 13309399813248 in words is "thirteen trillion, three hundred nine billion, three hundred ninety-nine million, eight hundred thirteen thousand, two hundred forty-eight".