1841193216 has 108 divisors (see below), whose sum is σ = 5321308720. Its totient is φ = 612264960.

The previous prime is 1841193161. The next prime is 1841193253. The reversal of 1841193216 is 6123911481.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425531 + ... + 1426821.

Almost surely, 2^1841193216 is an apocalyptic number.

1841193216 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 1841193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660654360).

1841193216 is an abundant number, since it is smaller than the sum of its proper divisors (3480115504).

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

1841193216 is a wasteful number, since it uses less digits than its factorization.

1841193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1915 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1841193216 is about 42909.1274206316. The cubic root of 1841193216 is about 1225.6499599010.

The spelling of 1841193216 in words is "one billion, eight hundred forty-one million, one hundred ninety-three thousand, two hundred sixteen".