488445833664 has 448 divisors, whose sum is σ = 1539966643200. Its totient is φ = 151364505600.

The previous prime is 488445833657. The next prime is 488445833677. The reversal of 488445833664 is 466338544884.

488445833664 is a `hidden beast` number, since 4 + 8 + 8 + 44 + 583 + 3 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738949494 + ... + 738950154.

Almost surely, 2^488445833664 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 488445833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769983321600).

488445833664 is an abundant number, since it is smaller than the sum of its proper divisors (1051520809536).

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

488445833664 is a wasteful number, since it uses less digits than its factorization.

488445833664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 488445833664 in words is "four hundred eighty-eight billion, four hundred forty-five million, eight hundred thirty-three thousand, six hundred sixty-four".