512458643456 has 48 divisors (see below), whose sum is σ = 1025562021120. Its totient is φ = 256005529600.

The previous prime is 512458643443. The next prime is 512458643491. The reversal of 512458643456 is 654346854215.

It is a super-2 number, since 2×512458643456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512458643398 and 512458643407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2248550 + ... + 2465946.

It is an arithmetic number, because the mean of its divisors is an integer number (21365875440).

Almost surely, 2^512458643456 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 512458643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512781010560).

512458643456 is an abundant number, since it is smaller than the sum of its proper divisors (513103377664).

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

512458643456 is a wasteful number, since it uses less digits than its factorization.

512458643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218570 (or 218550 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 53.

The spelling of 512458643456 in words is "five hundred twelve billion, four hundred fifty-eight million, six hundred forty-three thousand, four hundred fifty-six".