493544241490608 has 4320 divisors, whose sum is σ = 2043670696704000. Its totient is φ = 113184246067200.

The previous prime is 493544241490607. The next prime is 493544241490673. The reversal of 493544241490608 is 806094142445394.

493544241490608 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 4 + 4 + 2 + 4 + 14 + 9 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (493544241490607) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1268751263278 + ... + 1268751263666.

Almost surely, 2^{493544241490608} is an apocalyptic number.

493544241490608 is a gapful number since it is divisible by the number (48) 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 493544241490608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021835348352000).

493544241490608 is an abundant number, since it is smaller than the sum of its proper divisors (1550126455213392).

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

493544241490608 is a wasteful number, since it uses less digits than its factorization.

493544241490608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 493544241490608 in words is "four hundred ninety-three trillion, five hundred forty-four billion, two hundred forty-one million, four hundred ninety thousand, six hundred eight".