1845381120 has 384 divisors, whose sum is σ = 6642155520. Its totient is φ = 433520640.

The previous prime is 1845381119. The next prime is 1845381143. The reversal of 1845381120 is 211835481.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14530497 + ... + 14530623.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^1845381120 is an apocalyptic number.

1845381120 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 1845381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321077760).

1845381120 is an abundant number, since it is smaller than the sum of its proper divisors (4796774400).

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

1845381120 is a wasteful number, since it uses less digits than its factorization.

1845381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1845381120 is about 42957.8993899841. The cubic root of 1845381120 is about 1226.5785275886.

The spelling of 1845381120 in words is "one billion, eight hundred forty-five million, three hundred eighty-one thousand, one hundred twenty".