5845340160 has 624 divisors, whose sum is σ = 23424949440. Its totient is φ = 1371340800.

The previous prime is 5845340107. The next prime is 5845340167. The reversal of 5845340160 is 610435485.

It is a happy number.

5845340160 is a `hidden beast` number, since 5 + 8 + 453 + 40 + 160 = 666.

It is a super-2 number, since 2×5845340160² = 68336003172217651200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5845340167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188559345 + ... + 188559375.

Almost surely, 2^5845340160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5845340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712474720).

5845340160 is an abundant number, since it is smaller than the sum of its proper divisors (17579609280).

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

5845340160 is a wasteful number, since it uses less digits than its factorization.

5845340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5845340160 is about 76454.8243082148. The cubic root of 5845340160 is about 1801.3713993257.

The spelling of 5845340160 in words is "five billion, eight hundred forty-five million, three hundred forty thousand, one hundred sixty".