493436643876 has 108 divisors (see below), whose sum is σ = 1381305809520. Its totient is φ = 147293989920.

The previous prime is 493436643857. The next prime is 493436643877. The reversal of 493436643876 is 678346634394.

493436643876 is a `hidden beast` number, since 4 + 93 + 43 + 6 + 6 + 438 + 76 = 666.

It is a super-2 number, since 2×493436643876² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493436643877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1638855 + ... + 1916433.

Almost surely, 2^493436643876 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 493436643876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690652904760).

493436643876 is an abundant number, since it is smaller than the sum of its proper divisors (887869165644).

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

493436643876 is a wasteful number, since it uses less digits than its factorization.

493436643876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277734 (or 277662 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 63.

The spelling of 493436643876 in words is "four hundred ninety-three billion, four hundred thirty-six million, six hundred forty-three thousand, eight hundred seventy-six".