518452461312 has 288 divisors, whose sum is σ = 1489512837120. Its totient is φ = 159562690560.

The previous prime is 518452461311. The next prime is 518452461343. The reversal of 518452461312 is 213164254815.

It is a super-2 number, since 2×518452461312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518452461311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569102137 + ... + 569103047.

Almost surely, 2^518452461312 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 518452461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744756418560).

518452461312 is an abundant number, since it is smaller than the sum of its proper divisors (971060375808).

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

518452461312 is a wasteful number, since it uses less digits than its factorization.

518452461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1885 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 518452461312 in words is "five hundred eighteen billion, four hundred fifty-two million, four hundred sixty-one thousand, three hundred twelve".