506345753145114 has 56 divisors (see below), whose sum is σ = 1151552035641780. Its totient is φ = 166885491630528.

The previous prime is 506345753145107. The next prime is 506345753145119. The reversal of 506345753145114 is 411541357543605.

506345753145114 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 4 + 57 + 531 + 4 + 51 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483810158619225 + 22535594525889 = 21995685^2 + 4747167^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (506345753145119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1950925837 + ... + 1951185360.

Almost surely, 2^{506345753145114} is an apocalyptic number.

506345753145114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

506345753145114 is an abundant number, since it is smaller than the sum of its proper divisors (645206282496666).

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

506345753145114 is an equidigital number, since it uses as much as digits as its factorization.

506345753145114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902111306 (or 3902111291 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 506345753145114 in words is "five hundred six trillion, three hundred forty-five billion, seven hundred fifty-three million, one hundred forty-five thousand, one hundred fourteen".