1849311648 has 144 divisors (see below), whose sum is σ = 5741255520. Its totient is φ = 583946496.

The previous prime is 1849311641. The next prime is 1849311649. The reversal of 1849311648 is 8461139481.

1849311648 is a `hidden beast` number, since 1 + 8 + 493 + 116 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1849311641) 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 23 ways as a sum of consecutive naturals, for example, 141486 + ... + 154002.

It is an arithmetic number, because the mean of its divisors is an integer number (39869830).

Almost surely, 2^1849311648 is an apocalyptic number.

1849311648 is a gapful number since it is divisible by the number (18) 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 1849311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870627760).

1849311648 is an abundant number, since it is smaller than the sum of its proper divisors (3891943872).

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

1849311648 is a wasteful number, since it uses less digits than its factorization.

1849311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12541 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1849311648 is about 43003.6236612684. The cubic root of 1849311648 is about 1227.4487511563.

The spelling of 1849311648 in words is "one billion, eight hundred forty-nine million, three hundred eleven thousand, six hundred forty-eight".