488665959705 has 192 divisors, whose sum is σ = 1091608068096. Its totient is φ = 196257600000.

The previous prime is 488665959673. The next prime is 488665959731. The reversal of 488665959705 is 507959566884.

488665959705 is a `hidden beast` number, since 488 + 6 + 6 + 59 + 5 + 97 + 0 + 5 = 666.

It is not a de Polignac number, because 488665959705 - 2⁵ = 488665959673 is a prime.

It is a Curzon 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 191 ways as a sum of consecutive naturals, for example, 88829455 + ... + 88834955.

It is an arithmetic number, because the mean of its divisors is an integer number (5685458688).

Almost surely, 2^488665959705 is an apocalyptic number.

488665959705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

488665959705 is an abundant number, since it is smaller than the sum of its proper divisors (602942108391).

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

488665959705 is a wasteful number, since it uses less digits than its factorization.

488665959705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 488665959705 in words is "four hundred eighty-eight billion, six hundred sixty-five million, nine hundred fifty-nine thousand, seven hundred five".