506069146728 has 48 divisors (see below), whose sum is σ = 1417866149700. Its totient is φ = 162872828160.

The previous prime is 506069146721. The next prime is 506069146787. The reversal of 506069146728 is 827641960605.

506069146728 is a `hidden beast` number, since 5 + 0 + 606 + 9 + 1 + 4 + 6 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 502394604804 + 3674541924 = 708798^2 + 60618^2 .

It is a super-2 number, since 2×506069146728² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506069146721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121183053 + ... + 121187228.

Almost surely, 2^506069146728 is an apocalyptic number.

506069146728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

506069146728 is an abundant number, since it is smaller than the sum of its proper divisors (911797002972).

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

506069146728 is a wasteful number, since it uses less digits than its factorization.

506069146728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242370322 (or 242370315 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 506069146728 in words is "five hundred six billion, sixty-nine million, one hundred forty-six thousand, seven hundred twenty-eight".