493826172840000 has 8505 divisors, whose sum is σ = 2516922197480691. Its totient is φ = 92159907840000.

The previous prime is 493826172839981. The next prime is 493826172840017. The reversal of 493826172840000 is 48271628394.

The square root of 493826172840000 is 22222200.

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

493826172840000 is a `hidden beast` number, since 4 + 93 + 82 + 6 + 1 + 72 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 470455058880576 + 23371113959424 = 21689976^2 + 4834368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 13346653319982 + ... + 13346653320018.

Almost surely, 2^{493826172840000} is an apocalyptic number.

493826172840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

493826172840000 is the 22222200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493826172840000

493826172840000 is an abundant number, since it is smaller than the sum of its proper divisors (2023096024640691).

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

493826172840000 is a wasteful number, since it uses less digits than its factorization.

493826172840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 493826172840000 in words is "four hundred ninety-three trillion, eight hundred twenty-six billion, one hundred seventy-two million, eight hundred forty thousand".