496518340608 has 336 divisors, whose sum is σ = 1472218189416. Its totient is φ = 161187102720.

The previous prime is 496518340583. The next prime is 496518340609. The reversal of 496518340608 is 806043815694.

496518340608 is a `hidden beast` number, since 4 + 96 + 518 + 34 + 0 + 6 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262602952704 + 233915387904 = 512448^2 + 483648^2 .

It is not an unprimeable number, because it can be changed into a prime (496518340609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508206616 + ... + 508207592.

Almost surely, 2^496518340608 is an apocalyptic number.

496518340608 is a gapful number since it is divisible by the number (48) 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 496518340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736109094708).

496518340608 is an abundant number, since it is smaller than the sum of its proper divisors (975699848808).

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

496518340608 is a wasteful number, since it uses less digits than its factorization.

496518340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 496518340608 in words is "four hundred ninety-six billion, five hundred eighteen million, three hundred forty thousand, six hundred eight".