491596144208928 has 576 divisors, whose sum is σ = 1626081689651328. Its totient is φ = 139225081282560.

The previous prime is 491596144208909. The next prime is 491596144208959. The reversal of 491596144208928 is 829802441695194.

It is a happy number.

491596144208928 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 96 + 1 + 442 + 0 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14095121026 + ... + 14095155902.

It is an arithmetic number, because the mean of its divisors is an integer number (2823058488978).

Almost surely, 2^{491596144208928} is an apocalyptic number.

491596144208928 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 491596144208928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813040844825664).

491596144208928 is an abundant number, since it is smaller than the sum of its proper divisors (1134485545442400).

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

491596144208928 is a wasteful number, since it uses less digits than its factorization.

491596144208928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36745 (or 36734 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 491596144208928 in words is "four hundred ninety-one trillion, five hundred ninety-six billion, one hundred forty-four million, two hundred eight thousand, nine hundred twenty-eight".