506406531114 has 72 divisors (see below), whose sum is σ = 1203700260672. Its totient is φ = 152597313840.

The previous prime is 506406531101. The next prime is 506406531157. The reversal of 506406531114 is 411135604605.

506406531114 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 0 + 6 + 531 + 114 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6304207 + ... + 6384029.

It is an arithmetic number, because the mean of its divisors is an integer number (16718059176).

Almost surely, 2^506406531114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506406531114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601850130336).

506406531114 is an abundant number, since it is smaller than the sum of its proper divisors (697293729558).

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

506406531114 is a wasteful number, since it uses less digits than its factorization.

506406531114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80200 (or 80018 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 506406 and 531114, that added together give a triangular number (1037520 = T₁₄₄₀).

The spelling of 506406531114 in words is "five hundred six billion, four hundred six million, five hundred thirty-one thousand, one hundred fourteen".