491385164625 has 384 divisors, whose sum is σ = 985432780800. Its totient is φ = 234847641600.

The previous prime is 491385164597. The next prime is 491385164659. The reversal of 491385164625 is 526461583194.

491385164625 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 8 + 5 + 1 + 6 + 4 + 625 = 666.

It is not a de Polignac number, because 491385164625 - 2⁹ = 491385164113 is a prime.

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 383 ways as a sum of consecutive naturals, for example, 5521181581 + ... + 5521181669.

It is an arithmetic number, because the mean of its divisors is an integer number (2566231200).

Almost surely, 2^491385164625 is an apocalyptic number.

491385164625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

491385164625 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

491385164625 is a wasteful number, since it uses less digits than its factorization.

491385164625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 491385164625 in words is "four hundred ninety-one billion, three hundred eighty-five million, one hundred sixty-four thousand, six hundred twenty-five".