491956420608 has 180 divisors, whose sum is σ = 1455844494468. Its totient is φ = 159983861760.

The previous prime is 491956420597. The next prime is 491956420663. The reversal of 491956420608 is 806024659194.

491956420608 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 5 + 6 + 4 + 20 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225997553664 + 265958866944 = 475392^2 + 515712^2 .

It is a super-2 number, since 2×491956420608² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6005010 + ... + 6086382.

Almost surely, 2^491956420608 is an apocalyptic number.

491956420608 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 491956420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727922247234).

491956420608 is an abundant number, since it is smaller than the sum of its proper divisors (963888073860).

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

491956420608 is an equidigital number, since it uses as much as digits as its factorization.

491956420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81448 (or 81419 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 491956420608 in words is "four hundred ninety-one billion, nine hundred fifty-six million, four hundred twenty thousand, six hundred eight".