1819211616 has 192 divisors, whose sum is σ = 5654396160. Its totient is φ = 567060480.

The previous prime is 1819211579. The next prime is 1819211659. The reversal of 1819211616 is 6161129181.

It is a happy number.

1819211616 is a `hidden beast` number, since 1 + 8 + 19 + 21 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3098875 + ... + 3099461.

It is an arithmetic number, because the mean of its divisors is an integer number (29449980).

Almost surely, 2^1819211616 is an apocalyptic number.

1819211616 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 1819211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827198080).

1819211616 is an abundant number, since it is smaller than the sum of its proper divisors (3835184544).

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

1819211616 is a wasteful number, since it uses less digits than its factorization.

1819211616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 1819211616 is about 42652.2170115458. The cubic root of 1819211616 is about 1220.7528310605.

The spelling of 1819211616 in words is "one billion, eight hundred nineteen million, two hundred eleven thousand, six hundred sixteen".