5845312512 has 396 divisors, whose sum is σ = 19089666960. Its totient is φ = 1785618432.

The previous prime is 5845312493. The next prime is 5845312547. The reversal of 5845312512 is 2152135485.

5845312512 is a `hidden beast` number, since 5 + 84 + 53 + 12 + 512 = 666.

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

Its product of digits (48000) is a multiple of the sum of its prime factors (200).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 42052539 + ... + 42052677.

Almost surely, 2^5845312512 is an apocalyptic number.

5845312512 is a gapful number since it is divisible by the number (52) 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 5845312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544833480).

5845312512 is an abundant number, since it is smaller than the sum of its proper divisors (13244354448).

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

5845312512 is a wasteful number, since it uses less digits than its factorization.

5845312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5845312512 is about 76454.6434953430. The cubic root of 5845312512 is about 1801.3685592061.

Adding to 5845312512 its reverse (2152135485), we get a palindrome (7997447997).

The spelling of 5845312512 in words is "five billion, eight hundred forty-five million, three hundred twelve thousand, five hundred twelve".