512233414616 has 128 divisors (see below), whose sum is σ = 1239515136000. Its totient is φ = 192593116800.

The previous prime is 512233414607. The next prime is 512233414633. The reversal of 512233414616 is 616414332215.

It is a self number, because there is not a number n which added to its sum of digits gives 512233414616.

It is a congruent 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, 6818105 + ... + 6892823.

It is an arithmetic number, because the mean of its divisors is an integer number (9683712000).

Almost surely, 2^512233414616 is an apocalyptic number.

512233414616 is a gapful number since it is divisible by the number (56) 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 512233414616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619757568000).

512233414616 is an abundant number, since it is smaller than the sum of its proper divisors (727281721384).

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

512233414616 is a wasteful number, since it uses less digits than its factorization.

512233414616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75133 (or 75129 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The spelling of 512233414616 in words is "five hundred twelve billion, two hundred thirty-three million, four hundred fourteen thousand, six hundred sixteen".