13838318550 has 144 divisors (see below), whose sum is σ = 43292452320. Its totient is φ = 3103326720.

The previous prime is 13838318539. The next prime is 13838318573. The reversal of 13838318550 is 5581383831.

13838318550 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 83 + 18 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13838318496 and 13838318505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125506 + ... + 208394.

It is an arithmetic number, because the mean of its divisors is an integer number (300642030).

Almost surely, 2^13838318550 is an apocalyptic number.

13838318550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13838318550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646226160).

13838318550 is an abundant number, since it is smaller than the sum of its proper divisors (29454133770).

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

13838318550 is a wasteful number, since it uses less digits than its factorization.

13838318550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82967 (or 82959 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13838318550 in words is "thirteen billion, eight hundred thirty-eight million, three hundred eighteen thousand, five hundred fifty".