493561089216 has 672 divisors, whose sum is σ = 1741626956160. Its totient is φ = 131980197888.

The previous prime is 493561089169. The next prime is 493561089223. The reversal of 493561089216 is 612980165394.

493561089216 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 610 + 8 + 9 + 2 + 16 = 666.

It is a super-2 number, since 2×493561089216² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84903526 + ... + 84909338.

It is an arithmetic number, because the mean of its divisors is an integer number (2591706780).

Almost surely, 2^493561089216 is an apocalyptic number.

493561089216 is a gapful number since it is divisible by the number (46) 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 493561089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870813478080).

493561089216 is an abundant number, since it is smaller than the sum of its proper divisors (1248065866944).

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

493561089216 is a wasteful number, since it uses less digits than its factorization.

493561089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 493561089216 in words is "four hundred ninety-three billion, five hundred sixty-one million, eighty-nine thousand, two hundred sixteen".