1849145760 has 960 divisors, whose sum is σ = 8693879040. Its totient is φ = 358318080.

The previous prime is 1849145747. The next prime is 1849145761. The reversal of 1849145760 is 675419481.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1849145761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964586 + ... + 16964694.

It is an arithmetic number, because the mean of its divisors is an integer number (9056124).

Almost surely, 2^1849145760 is an apocalyptic number.

1849145760 is a gapful number since it is divisible by the number (10) 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 1849145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346939520).

1849145760 is an abundant number, since it is smaller than the sum of its proper divisors (6844733280).

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

1849145760 is a wasteful number, since it uses less digits than its factorization.

1849145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1849145760 is about 43001.6948503196. The cubic root of 1849145760 is about 1227.4120482913.

The spelling of 1849145760 in words is "one billion, eight hundred forty-nine million, one hundred forty-five thousand, seven hundred sixty".