1838808216000 has 1344 divisors, whose sum is σ = 7853109089280. Its totient is φ = 417216614400.

The previous prime is 1838808215947. The next prime is 1838808216001. The reversal of 1838808216000 is 6128088381.

1838808216000 is a `hidden beast` number, since 1 + 8 + 38 + 8 + 0 + 8 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838808216001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2218103586 + ... + 2218104414.

It is an arithmetic number, because the mean of its divisors is an integer number (5843087120).

Almost surely, 2^{1838808216000} is an apocalyptic number.

1838808216000 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 1838808216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926554544640).

1838808216000 is an abundant number, since it is smaller than the sum of its proper divisors (6014300873280).

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

1838808216000 is an equidigital number, since it uses as much as digits as its factorization.

1838808216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1838808216000 in words is "one trillion, eight hundred thirty-eight billion, eight hundred eight million, two hundred sixteen thousand".