493818066000 has 960 divisors, whose sum is σ = 2073023746560. Its totient is φ = 110037657600.

The previous prime is 493818065987. The next prime is 493818066037. The reversal of 493818066000 is 660818394.

493818066000 is a `hidden beast` number, since 4 + 9 + 38 + 1 + 8 + 0 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3145337922 + ... + 3145338078.

It is an arithmetic number, because the mean of its divisors is an integer number (2159399736).

Almost surely, 2^493818066000 is an apocalyptic number.

493818066000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493818066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036511873280).

493818066000 is an abundant number, since it is smaller than the sum of its proper divisors (1579205680560).

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

493818066000 is a wasteful number, since it uses less digits than its factorization.

493818066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 493818066000 in words is "four hundred ninety-three billion, eight hundred eighteen million, sixty-six thousand".