493826172840001 has 16 divisors (see below), whose sum is σ = 523030950850320. Its totient is φ = 464638758174720.

The previous prime is 493826172839981. The next prime is 493826172840017. The reversal of 493826172840001 is 100048271628394.

It is a Cunningham number, because it is equal to 22222200²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 34990537478400 + 458835635361601 = 5915280^2 + 21420449^2 .

It is a cyclic number.

It is not a de Polignac number, because 493826172840001 - 2¹¹ = 493826172837953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493826172840031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738431541 + ... + 1738715581.

It is an arithmetic number, because the mean of its divisors is an integer number (32689434428145).

Almost surely, 2^{493826172840001} is an apocalyptic number.

It is an amenable number.

493826172840001 is a deficient number, since it is larger than the sum of its proper divisors (29204778010319).

493826172840001 is a wasteful number, since it uses less digits than its factorization.

493826172840001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314244.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 493826172840001 in words is "four hundred ninety-three trillion, eight hundred twenty-six billion, one hundred seventy-two million, eight hundred forty thousand, one".