489963525369984 has 192 divisors, whose sum is σ = 1510984758479040. Its totient is φ = 151998085122048.

The previous prime is 489963525369937. The next prime is 489963525370069.

489963525369984 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 63 + 5 + 2 + 536 + 9 + 9 + 8 + 4 = 666.

489963525369984 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 489963525369894 and 489963525369903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248911282 + ... + 250871985.

It is an arithmetic number, because the mean of its divisors is an integer number (7869712283745).

Almost surely, 2^{489963525369984} is an apocalyptic number.

It is an amenable number.

489963525369984 is an abundant number, since it is smaller than the sum of its proper divisors (1021021233109056).

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

489963525369984 is a wasteful number, since it uses less digits than its factorization.

489963525369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499783347 (or 499783332 counting only the distinct ones).

The product of its digits is 108839116800, while the sum is 90.

The spelling of 489963525369984 in words is "four hundred eighty-nine trillion, nine hundred sixty-three billion, five hundred twenty-five million, three hundred sixty-nine thousand, nine hundred eighty-four".