488162304000 has 2016 divisors, whose sum is σ = 2181668276736. Its totient is φ = 104457830400.

The previous prime is 488162303969. The next prime is 488162304001. The reversal of 488162304000 is 403261884.

488162304000 is a `hidden beast` number, since 4 + 8 + 8 + 16 + 230 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488162304001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10386431977 + ... + 10386432023.

Almost surely, 2^488162304000 is an apocalyptic number.

488162304000 is a gapful number since it is divisible by the number (40) 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 488162304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090834138368).

488162304000 is an abundant number, since it is smaller than the sum of its proper divisors (1693505972736).

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

488162304000 is a wasteful number, since it uses less digits than its factorization.

488162304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 488162304000 its reverse (403261884), we get a palindrome (488565565884).

The spelling of 488162304000 in words is "four hundred eighty-eight billion, one hundred sixty-two million, three hundred four thousand".