1828838013184 has 144 divisors (see below), whose sum is σ = 4497645398400. Its totient is φ = 722742312960.

The previous prime is 1828838013181. The next prime is 1828838013193. The reversal of 1828838013184 is 4813108388281.

It is not an unprimeable number, because it can be changed into a prime (1828838013181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22579992 + ... + 22660840.

It is an arithmetic number, because the mean of its divisors is an integer number (31233648600).

Almost surely, 2^{1828838013184} is an apocalyptic number.

1828838013184 is a gapful number since it is divisible by the number (14) 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 1828838013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248822699200).

1828838013184 is an abundant number, since it is smaller than the sum of its proper divisors (2668807385216).

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

1828838013184 is an equidigital number, since it uses as much as digits as its factorization.

1828838013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81856 (or 81842 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 55.

The spelling of 1828838013184 in words is "one trillion, eight hundred twenty-eight billion, eight hundred thirty-eight million, thirteen thousand, one hundred eighty-four".