496765593856 has 405 divisors, whose sum is σ = 1237945177833. Its totient is φ = 198927267840.

The previous prime is 496765593829. The next prime is 496765593913. The reversal of 496765593856 is 658395567694.

The square root of 496765593856 is 704816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 260491827456 + 236273766400 = 510384^2 + 486080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16024696561 + ... + 16024696591.

Almost surely, 2^496765593856 is an apocalyptic number.

496765593856 is the 704816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496765593856

496765593856 is an abundant number, since it is smaller than the sum of its proper divisors (741179583977).

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

496765593856 is an frugal number, since it uses more digits than its factorization.

496765593856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 69 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 73.

The spelling of 496765593856 in words is "four hundred ninety-six billion, seven hundred sixty-five million, five hundred ninety-three thousand, eight hundred fifty-six".