506014138368 has 680 divisors, whose sum is σ = 1655741300400. Its totient is φ = 153391988736.

The previous prime is 506014138327. The next prime is 506014138391. The reversal of 506014138368 is 863831410605.

506014138368 is a `hidden beast` number, since 5 + 0 + 601 + 4 + 1 + 3 + 8 + 36 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2924937130 + ... + 2924937302.

Almost surely, 2^506014138368 is an apocalyptic number.

506014138368 is a gapful number since it is divisible by the number (58) 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 506014138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827870650200).

506014138368 is an abundant number, since it is smaller than the sum of its proper divisors (1149727162032).

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

506014138368 is an equidigital number, since it uses as much as digits as its factorization.

506014138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 506014138368 in words is "five hundred six billion, fourteen million, one hundred thirty-eight thousand, three hundred sixty-eight".