1838966016 has 72 divisors (see below), whose sum is σ = 4986787680. Its totient is φ = 601409536.

The previous prime is 1838965981. The next prime is 1838966021. The reversal of 1838966016 is 6106698381.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18115 + ... + 63293.

It is an arithmetic number, because the mean of its divisors is an integer number (69260940).

Almost surely, 2^1838966016 is an apocalyptic number.

1838966016 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 1838966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493393840).

1838966016 is an abundant number, since it is smaller than the sum of its proper divisors (3147821664).

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

1838966016 is an equidigital number, since it uses as much as digits as its factorization.

1838966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45251 (or 45237 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1838966016 is about 42883.1670472226. The cubic root of 1838966016 is about 1225.1555578659.

The spelling of 1838966016 in words is "one billion, eight hundred thirty-eight million, nine hundred sixty-six thousand, sixteen".