1849042944 has 384 divisors, whose sum is σ = 6651590400. Its totient is φ = 495452160.

The previous prime is 1849042891. The next prime is 1849042963. The reversal of 1849042944 is 4492409481.

1849042944 is a `hidden beast` number, since 184 + 9 + 0 + 429 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1849042944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6580084 + ... + 6580364.

It is an arithmetic number, because the mean of its divisors is an integer number (17321850).

Almost surely, 2^1849042944 is an apocalyptic number.

1849042944 is a gapful number since it is divisible by the number (14) 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 1849042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325795200).

1849042944 is an abundant number, since it is smaller than the sum of its proper divisors (4802547456).

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

1849042944 is a wasteful number, since it uses less digits than its factorization.

1849042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1849042944 is about 43000.4993459378. The cubic root of 1849042944 is about 1227.3892990596.

The spelling of 1849042944 in words is "one billion, eight hundred forty-nine million, forty-two thousand, nine hundred forty-four".