13832838180 has 432 divisors, whose sum is σ = 52389529920. Its totient is φ = 3051240192.

The previous prime is 13832838169. The next prime is 13832838199. The reversal of 13832838180 is 8183823831.

It is a super-3 number, since 3×13832838180³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6905059 + ... + 6907061.

It is an arithmetic number, because the mean of its divisors is an integer number (121272060).

Almost surely, 2^13832838180 is an apocalyptic number.

13832838180 is a gapful number since it is divisible by the number (10) 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 13832838180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26194764960).

13832838180 is an abundant number, since it is smaller than the sum of its proper divisors (38556691740).

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

13832838180 is a wasteful number, since it uses less digits than its factorization.

13832838180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13832838180 in words is "thirteen billion, eight hundred thirty-two million, eight hundred thirty-eight thousand, one hundred eighty".