1849944096 has 960 divisors, whose sum is σ = 7868399616. Its totient is φ = 410572800.

The previous prime is 1849944091. The next prime is 1849944157. The reversal of 1849944096 is 6904499481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1849944091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59675601 + ... + 59675631.

Almost surely, 2^1849944096 is an apocalyptic number.

1849944096 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 1849944096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934199808).

1849944096 is an abundant number, since it is smaller than the sum of its proper divisors (6018455520).

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

1849944096 is a wasteful number, since it uses less digits than its factorization.

1849944096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1849944096 is about 43010.9764595039. The cubic root of 1849944096 is about 1227.5886606968.

The spelling of 1849944096 in words is "one billion, eight hundred forty-nine million, nine hundred forty-four thousand, ninety-six".