13818395136 has 480 divisors, whose sum is σ = 47805690240. Its totient is φ = 3511517184.

The previous prime is 13818395089. The next prime is 13818395159. The reversal of 13818395136 is 63159381831.

13818395136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 28374285 + ... + 28374771.

It is an arithmetic number, because the mean of its divisors is an integer number (99595188).

Almost surely, 2^13818395136 is an apocalyptic number.

13818395136 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 13818395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902845120).

13818395136 is an abundant number, since it is smaller than the sum of its proper divisors (33987295104).

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

13818395136 is a wasteful number, since it uses less digits than its factorization.

13818395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 541 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 13818395136 in words is "thirteen billion, eight hundred eighteen million, three hundred ninety-five thousand, one hundred thirty-six".