491701072896 has 880 divisors, whose sum is σ = 1669782901248. Its totient is φ = 142829568000.

The previous prime is 491701072873. The next prime is 491701072943. The reversal of 491701072896 is 698270107194.

491701072896 is a `hidden beast` number, since 491 + 7 + 0 + 1 + 0 + 72 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3256298421 + ... + 3256298571.

Almost surely, 2^491701072896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491701072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834891450624).

491701072896 is an abundant number, since it is smaller than the sum of its proper divisors (1178081828352).

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

491701072896 is a wasteful number, since it uses less digits than its factorization.

491701072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 491701072896 in words is "four hundred ninety-one billion, seven hundred one million, seventy-two thousand, eight hundred ninety-six".