491934352896 has 800 divisors, whose sum is σ = 1723534686720. Its totient is φ = 136805842944.

The previous prime is 491934352859. The next prime is 491934352913. The reversal of 491934352896 is 698253439194.

491934352896 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 343 + 5 + 289 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 2945714605 + ... + 2945714771.

Almost surely, 2^491934352896 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 491934352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861767343360).

491934352896 is an abundant number, since it is smaller than the sum of its proper divisors (1231600333824).

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

491934352896 is a wasteful number, since it uses less digits than its factorization.

491934352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 491934352896 in words is "four hundred ninety-one billion, nine hundred thirty-four million, three hundred fifty-two thousand, eight hundred ninety-six".