488884146912 has 720 divisors, whose sum is σ = 1737265356288. Its totient is φ = 134333821440.

The previous prime is 488884146859. The next prime is 488884146913. The reversal of 488884146912 is 219641488884.

488884146912 is a `hidden beast` number, since 4 + 8 + 88 + 84 + 1 + 469 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 488884146912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488884146913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 893755023 + ... + 893755569.

Almost surely, 2^488884146912 is an apocalyptic number.

488884146912 is a gapful number since it is divisible by the number (42) 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 488884146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868632678144).

488884146912 is an abundant number, since it is smaller than the sum of its proper divisors (1248381209376).

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

488884146912 is a wasteful number, since it uses less digits than its factorization.

488884146912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 817 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 488884146912 in words is "four hundred eighty-eight billion, eight hundred eighty-four million, one hundred forty-six thousand, nine hundred twelve".