1845561600 has 243 divisors, whose sum is σ = 6635367193. Its totient is φ = 489400320.

The previous prime is 1845561593. The next prime is 1845561617. The reversal of 1845561600 is 61655481.

The square root of 1845561600 is 42960.

It is a perfect power (a square), and thus also a powerful number.

1845561600 is a `hidden beast` number, since 1 + 8 + 45 + 5 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 664402176 + 1181159424 = 25776^2 + 34368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10310311 + ... + 10310489.

Almost surely, 2^1845561600 is an apocalyptic number.

1845561600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1845561600 is the 42960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1845561600

1845561600 is an abundant number, since it is smaller than the sum of its proper divisors (4789805593).

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

1845561600 is an equidigital number, since it uses as much as digits as its factorization.

1845561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 1845561600 is about 1226.6185131276.

Multiplying 1845561600 by its sum of digits (36), we get a square (66440217600 = 257760²).

1845561600 divided by its sum of digits (36) gives a square (51265600 = 7160²).

The spelling of 1845561600 in words is "one billion, eight hundred forty-five million, five hundred sixty-one thousand, six hundred".