493995113938944 has 1024 divisors, whose sum is σ = 1586183722905600. Its totient is φ = 151540413235200.

The previous prime is 493995113938817. The next prime is 493995113939021. The reversal of 493995113938944 is 449839311599394.

493995113938944 is a `hidden beast` number, since 4 + 9 + 3 + 9 + 9 + 511 + 3 + 9 + 3 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

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, 60904337449 + ... + 60904345559.

It is an arithmetic number, because the mean of its divisors is an integer number (1549007541900).

Almost surely, 2^{493995113938944} 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 493995113938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793091861452800).

493995113938944 is an abundant number, since it is smaller than the sum of its proper divisors (1092188608966656).

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

493995113938944 is an equidigital number, since it uses as much as digits as its factorization.

493995113938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8253 counting only the distinct ones).

The product of its digits is 4081466880, while the sum is 81.

The spelling of 493995113938944 in words is "four hundred ninety-three trillion, nine hundred ninety-five billion, one hundred thirteen million, nine hundred thirty-eight thousand, nine hundred forty-four".