13824198393915 has 256 divisors, whose sum is σ = 28461920256000. Its totient is φ = 5690370921984.

The previous prime is 13824198393913. The next prime is 13824198393949. The reversal of 13824198393915 is 51939389142831.

It is a happy number.

It is not a de Polignac number, because 13824198393915 - 2¹ = 13824198393913 is a prime.

It is a super-2 number, since 2×13824198393915² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824198393913) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2551058076 + ... + 2551063494.

It is an arithmetic number, because the mean of its divisors is an integer number (111179376000).

Almost surely, 2^{13824198393915} is an apocalyptic number.

13824198393915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13824198393915 is an abundant number, since it is smaller than the sum of its proper divisors (14637721862085).

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

13824198393915 is a wasteful number, since it uses less digits than its factorization.

13824198393915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6377 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 66.

The spelling of 13824198393915 in words is "thirteen trillion, eight hundred twenty-four billion, one hundred ninety-eight million, three hundred ninety-three thousand, nine hundred fifteen".