1855633248 has 144 divisors (see below), whose sum is σ = 6044613120. Its totient is φ = 528968448.

The previous prime is 1855633217. The next prime is 1855633301. The reversal of 1855633248 is 8423365581.

1855633248 is a `hidden beast` number, since 1 + 8 + 5 + 5 + 633 + 2 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1247161 + ... + 1248647.

It is an arithmetic number, because the mean of its divisors is an integer number (41976480).

Almost surely, 2^1855633248 is an apocalyptic number.

1855633248 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 1855633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

1855633248 is an abundant number, since it is smaller than the sum of its proper divisors (4188979872).

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

1855633248 is a wasteful number, since it uses less digits than its factorization.

1855633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2118 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1855633248 is about 43077.0617382384. The cubic root of 1855633248 is about 1228.8457782221.

The spelling of 1855633248 in words is "one billion, eight hundred fifty-five million, six hundred thirty-three thousand, two hundred forty-eight".