506026434816 has 216 divisors, whose sum is σ = 1729185441984. Its totient is φ = 144578856960.

The previous prime is 506026434761. The next prime is 506026434829. The reversal of 506026434816 is 618434620605.

506026434816 is a `hidden beast` number, since 5 + 0 + 602 + 6 + 4 + 34 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×506026434816³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145575 + ... + 1016486.

Almost surely, 2^506026434816 is an apocalyptic number.

506026434816 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 506026434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864592720992).

506026434816 is an abundant number, since it is smaller than the sum of its proper divisors (1223159007168).

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

506026434816 is an equidigital number, since it uses as much as digits as its factorization.

506026434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162099 (or 1162073 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 506026434816 in words is "five hundred six billion, twenty-six million, four hundred thirty-four thousand, eight hundred sixteen".