13641898816 has 336 divisors, whose sum is σ = 36023702400. Its totient is φ = 4983939072.

The previous prime is 13641898813. The next prime is 13641898859. The reversal of 13641898816 is 61889814631.

13641898816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13641898816² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641898813) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 231218595 + ... + 231218653.

It is an arithmetic number, because the mean of its divisors is an integer number (107213400).

Almost surely, 2^13641898816 is an apocalyptic number.

13641898816 is a gapful number since it is divisible by the number (16) 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 13641898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011851200).

13641898816 is an abundant number, since it is smaller than the sum of its proper divisors (22381803584).

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

13641898816 is a wasteful number, since it uses less digits than its factorization.

13641898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 147 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 55.

The spelling of 13641898816 in words is "thirteen billion, six hundred forty-one million, eight hundred ninety-eight thousand, eight hundred sixteen".