1841164416 has 432 divisors, whose sum is σ = 6708280410. Its totient is φ = 483065856.

The previous prime is 1841164387. The next prime is 1841164427. The reversal of 1841164416 is 6144611481.

It is a happy number.

1841164416 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 1 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 678081600 + 1163082816 = 26040^2 + 34104^2 .

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 53 ways as a sum of consecutive naturals, for example, 9539616 + ... + 9539808.

Almost surely, 2^1841164416 is an apocalyptic number.

1841164416 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 1841164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354140205).

1841164416 is an abundant number, since it is smaller than the sum of its proper divisors (4867115994).

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

1841164416 is a wasteful number, since it uses less digits than its factorization.

1841164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1841164416 is about 42908.7918263845. The cubic root of 1841164416 is about 1225.6435693165.

Adding to 1841164416 its reverse (6144611481), we get a palindrome (7985775897).

The spelling of 1841164416 in words is "one billion, eight hundred forty-one million, one hundred sixty-four thousand, four hundred sixteen".