493956659394 has 192 divisors, whose sum is σ = 1268971816320. Its totient is φ = 137191680000.

The previous prime is 493956659363. The next prime is 493956659491.

It is a happy number.

493956659394 is a `hidden beast` number, since 4 + 9 + 3 + 9 + 566 + 59 + 3 + 9 + 4 = 666.

493956659394 is nontrivially palindromic in base 10.

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, 20726017 + ... + 20749835.

It is an arithmetic number, because the mean of its divisors is an integer number (6609228210).

Almost surely, 2^493956659394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493956659394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634485908160).

493956659394 is an abundant number, since it is smaller than the sum of its proper divisors (775015156926).

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

493956659394 is a wasteful number, since it uses less digits than its factorization.

493956659394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24017 (or 24014 counting only the distinct ones).

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

The spelling of 493956659394 in words is "four hundred ninety-three billion, nine hundred fifty-six million, six hundred fifty-nine thousand, three hundred ninety-four".