512465670816 has 192 divisors, whose sum is σ = 1483026693120. Its totient is φ = 153655971840.

The previous prime is 512465670751. The next prime is 512465670883. The reversal of 512465670816 is 618076564215.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76724565 + ... + 76731243.

It is an arithmetic number, because the mean of its divisors is an integer number (7724097360).

Almost surely, 2^512465670816 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 512465670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741513346560).

512465670816 is an abundant number, since it is smaller than the sum of its proper divisors (970561022304).

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

512465670816 is a wasteful number, since it uses less digits than its factorization.

512465670816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 512465670816 in words is "five hundred twelve billion, four hundred sixty-five million, six hundred seventy thousand, eight hundred sixteen".