13295831298048 has 1664 divisors, whose sum is σ = 46218942873600. Its totient is φ = 3792438558720.

The previous prime is 13295831297981. The next prime is 13295831298053. The reversal of 13295831298048 is 84089213859231.

13295831298048 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 583 + 1 + 2 + 9 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×13295831298048² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104691584961 + ... + 104691585087.

Almost surely, 2^{13295831298048} is an apocalyptic number.

13295831298048 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 13295831298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109471436800).

13295831298048 is an abundant number, since it is smaller than the sum of its proper divisors (32923111575552).

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

13295831298048 is an equidigital number, since it uses as much as digits as its factorization.

13295831298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 13295831298048 in words is "thirteen trillion, two hundred ninety-five billion, eight hundred thirty-one million, two hundred ninety-eight thousand, forty-eight".