659493394956 has 216 divisors, whose sum is σ = 1844731320432. Its totient is φ = 198504345600.

The previous prime is 659493394949. The next prime is 659493394961.

It is a happy number.

659493394956 is a `hidden beast` number, since 6 + 59 + 493 + 39 + 4 + 9 + 56 = 666.

659493394956 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 675018340 + ... + 675019316.

Almost surely, 2^659493394956 is an apocalyptic number.

659493394956 is a gapful number since it is divisible by the number (66) 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 659493394956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922365660216).

659493394956 is an abundant number, since it is smaller than the sum of its proper divisors (1185237925476).

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

659493394956 is a wasteful number, since it uses less digits than its factorization.

659493394956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its digits is 850305600, while the sum is 72.

The spelling of 659493394956 in words is "six hundred fifty-nine billion, four hundred ninety-three million, three hundred ninety-four thousand, nine hundred fifty-six".