491628248064 has 440 divisors, whose sum is σ = 1523310716928. Its totient is φ = 157769441280.

The previous prime is 491628248047. The next prime is 491628248071. The reversal of 491628248064 is 460842826194.

It is a happy number.

491628248064 is a `hidden beast` number, since 4 + 9 + 1 + 628 + 2 + 4 + 8 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 491628248064.

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 39 ways as a sum of consecutive naturals, for example, 676242069 + ... + 676242795.

Almost surely, 2^491628248064 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 491628248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761655358464).

491628248064 is an abundant number, since it is smaller than the sum of its proper divisors (1031682468864).

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

491628248064 is a wasteful number, since it uses less digits than its factorization.

491628248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 491628248064 in words is "four hundred ninety-one billion, six hundred twenty-eight million, two hundred forty-eight thousand, sixty-four".