1789814016 has 144 divisors (see below), whose sum is σ = 5464184320. Its totient is φ = 577290240.

The previous prime is 1789813999. The next prime is 1789814053. The reversal of 1789814016 is 6104189871.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 210096 + ... + 218448.

Almost surely, 2^1789814016 is an apocalyptic number.

1789814016 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 1789814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732092160).

1789814016 is an abundant number, since it is smaller than the sum of its proper divisors (3674370304).

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

1789814016 is an equidigital number, since it uses as much as digits as its factorization.

1789814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1789814016 is about 42306.1935891188. The cubic root of 1789814016 is about 1214.1414938211.

The spelling of 1789814016 in words is "one billion, seven hundred eighty-nine million, eight hundred fourteen thousand, sixteen".