5845735916064 has 768 divisors, whose sum is σ = 20116830504960. Its totient is φ = 1631780536320.

The previous prime is 5845735916063. The next prime is 5845735916093. The reversal of 5845735916064 is 4606195375485.

It is a happy number.

5845735916064 is a `hidden beast` number, since 5 + 8 + 4 + 573 + 59 + 1 + 6 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×5845735916064³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5845735915992 and 5845735916010.

It is not an unprimeable number, because it can be changed into a prime (5845735916063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1764482472 + ... + 1764485784.

It is an arithmetic number, because the mean of its divisors is an integer number (26193789720).

Almost surely, 2^{5845735916064} is an apocalyptic number.

5845735916064 is a gapful number since it is divisible by the number (54) 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 5845735916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058415252480).

5845735916064 is an abundant number, since it is smaller than the sum of its proper divisors (14271094588896).

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

5845735916064 is a wasteful number, since it uses less digits than its factorization.

5845735916064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5845735916064 in words is "five trillion, eight hundred forty-five billion, seven hundred thirty-five million, nine hundred sixteen thousand, sixty-four".