488601000000 has 441 divisors, whose sum is σ = 1758131265163. Its totient is φ = 129734400000.

The previous prime is 488600999927. The next prime is 488601000047. The reversal of 488601000000 is 106884.

The square root of 488601000000 is 699000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 264697902144 + 223903097856 = 514488^2 + 473184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2096999884 + ... + 2097000116.

Almost surely, 2^488601000000 is an apocalyptic number.

488601000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

488601000000 is the 699000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488601000000

488601000000 is an abundant number, since it is smaller than the sum of its proper divisors (1269530265163).

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

488601000000 is an frugal number, since it uses more digits than its factorization.

488601000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 488601000000 its reverse (106884), we get a palindrome (488601106884).

The spelling of 488601000000 in words is "four hundred eighty-eight billion, six hundred one million", and thus it is an aban number.