495839874816 has 864 divisors, whose sum is σ = 1758675260160. Its totient is φ = 137355264000.

The previous prime is 495839874811. The next prime is 495839874857. The reversal of 495839874816 is 618478938594.

495839874816 is a `hidden beast` number, since 4 + 9 + 58 + 3 + 98 + 7 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495839874811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1236508216 + ... + 1236508616.

Almost surely, 2^495839874816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495839874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879337630080).

495839874816 is an abundant number, since it is smaller than the sum of its proper divisors (1262835385344).

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

495839874816 is a wasteful number, since it uses less digits than its factorization.

495839874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 495839874816 in words is "four hundred ninety-five billion, eight hundred thirty-nine million, eight hundred seventy-four thousand, eight hundred sixteen".