493499912256 has 448 divisors, whose sum is σ = 1598157433600. Its totient is φ = 149286758400.

The previous prime is 493499912233. The next prime is 493499912281. The reversal of 493499912256 is 652219994394.

493499912256 is a `hidden beast` number, since 4 + 9 + 3 + 499 + 91 + 2 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 493499912193 and 493499912202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231580311 + ... + 231582441.

It is an arithmetic number, because the mean of its divisors is an integer number (3567315700).

Almost surely, 2^493499912256 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 493499912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799078716800).

493499912256 is an abundant number, since it is smaller than the sum of its proper divisors (1104657521344).

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

493499912256 is a wasteful number, since it uses less digits than its factorization.

493499912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2210 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 493499912256 in words is "four hundred ninety-three billion, four hundred ninety-nine million, nine hundred twelve thousand, two hundred fifty-six".