496782831468 has 288 divisors, whose sum is σ = 1524648738816. Its totient is φ = 124362000000.

The previous prime is 496782831451. The next prime is 496782831527. The reversal of 496782831468 is 864138287694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 496782831399 and 496782831408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50322573 + ... + 50332443.

It is an arithmetic number, because the mean of its divisors is an integer number (5293919232).

Almost surely, 2^496782831468 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 496782831468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762324369408).

496782831468 is an abundant number, since it is smaller than the sum of its proper divisors (1027865907348).

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

496782831468 is a wasteful number, since it uses less digits than its factorization.

496782831468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10176 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 66.

The spelling of 496782831468 in words is "four hundred ninety-six billion, seven hundred eighty-two million, eight hundred thirty-one thousand, four hundred sixty-eight".