491643164160 has 320 divisors, whose sum is σ = 1747795008960. Its totient is φ = 130996961280.

The previous prime is 491643164149. The next prime is 491643164203. The reversal of 491643164160 is 61461346194.

491643164160 is a `hidden beast` number, since 49 + 16 + 431 + 6 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118953454 + ... + 118957586.

It is an arithmetic number, because the mean of its divisors is an integer number (5461859403).

Almost surely, 2^491643164160 is an apocalyptic number.

491643164160 is a gapful number since it is divisible by the number (40) 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 491643164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873897504480).

491643164160 is an abundant number, since it is smaller than the sum of its proper divisors (1256151844800).

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

491643164160 is a wasteful number, since it uses less digits than its factorization.

491643164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 491643164160 in words is "four hundred ninety-one billion, six hundred forty-three million, one hundred sixty-four thousand, one hundred sixty".