1789218816 has 416 divisors, whose sum is σ = 6240362496. Its totient is φ = 442368000.

The previous prime is 1789218791. The next prime is 1789218817. The reversal of 1789218816 is 6188129871.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1789218817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29331426 + ... + 29331486.

Almost surely, 2^1789218816 is an apocalyptic number.

1789218816 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 1789218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120181248).

1789218816 is an abundant number, since it is smaller than the sum of its proper divisors (4451143680).

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

1789218816 is a wasteful number, since it uses less digits than its factorization.

1789218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 387072, while the sum is 51.

The square root of 1789218816 is about 42299.1585731915. The cubic root of 1789218816 is about 1214.0068919143.

The spelling of 1789218816 in words is "one billion, seven hundred eighty-nine million, two hundred eighteen thousand, eight hundred sixteen".