496196265744 has 225 divisors, whose sum is σ = 1526910458821. Its totient is φ = 155534169600.

The previous prime is 496196265739. The next prime is 496196265757. The reversal of 496196265744 is 447562691694.

It is a happy number.

The square root of 496196265744 is 704412.

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

496196265744 is a `hidden beast` number, since 4 + 9 + 619 + 6 + 2 + 6 + 5 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386311971600 + 109884294144 = 621540^2 + 331488^2 .

It is a Duffinian number.

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, 431099569 + ... + 431100719.

Almost surely, 2^496196265744 is an apocalyptic number.

496196265744 is the 704412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496196265744

496196265744 is an abundant number, since it is smaller than the sum of its proper divisors (1030714193077).

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

496196265744 is an equidigital number, since it uses as much as digits as its factorization.

496196265744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 1173 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 496196265744 in words is "four hundred ninety-six billion, one hundred ninety-six million, two hundred sixty-five thousand, seven hundred forty-four".