489730145645664 has 1152 divisors, whose sum is σ = 1893932638617600. Its totient is φ = 120178148428800.

The previous prime is 489730145645647. The next prime is 489730145645677. The reversal of 489730145645664 is 466546541037984.

489730145645664 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 3 + 0 + 1 + 4 + 56 + 4 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 489730145645592 and 489730145645601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5102849199 + ... + 5102945169.

It is an arithmetic number, because the mean of its divisors is an integer number (1644038748800).

Almost surely, 2^{489730145645664} is an apocalyptic number.

489730145645664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489730145645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946966319308800).

489730145645664 is an abundant number, since it is smaller than the sum of its proper divisors (1404202492971936).

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

489730145645664 is a wasteful number, since it uses less digits than its factorization.

489730145645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96405 (or 96380 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 489730145645664 in words is "four hundred eighty-nine trillion, seven hundred thirty billion, one hundred forty-five million, six hundred forty-five thousand, six hundred sixty-four".