1941645816 has 384 divisors, whose sum is σ = 6415718400. Its totient is φ = 544320000.

The previous prime is 1941645773. The next prime is 1941645817. The reversal of 1941645816 is 6185461491.

1941645816 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 64 + 581 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941645817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19224166 + ... + 19224266.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^1941645816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1941645816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207859200).

1941645816 is an abundant number, since it is smaller than the sum of its proper divisors (4474072584).

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

1941645816 is a wasteful number, since it uses less digits than its factorization.

1941645816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1941645816 is about 44064.1102939796. The cubic root of 1941645816 is about 1247.5462940265.

The spelling of 1941645816 in words is "one billion, nine hundred forty-one million, six hundred forty-five thousand, eight hundred sixteen".