496343523312 has 640 divisors, whose sum is σ = 1798204907520. Its totient is φ = 127587778560.

The previous prime is 496343523293. The next prime is 496343523317. The reversal of 496343523312 is 213325343694.

It is a happy number.

496343523312 is a `hidden beast` number, since 4 + 9 + 634 + 3 + 5 + 2 + 3 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496343523317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652225012 + ... + 652225772.

It is an arithmetic number, because the mean of its divisors is an integer number (2809695168).

Almost surely, 2^496343523312 is an apocalyptic number.

496343523312 is a gapful number since it is divisible by the number (42) 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 496343523312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899102453760).

496343523312 is an abundant number, since it is smaller than the sum of its proper divisors (1301861384208).

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

496343523312 is a wasteful number, since it uses less digits than its factorization.

496343523312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 496343523312 in words is "four hundred ninety-six billion, three hundred forty-three million, five hundred twenty-three thousand, three hundred twelve".