488668106304 has 945 divisors, whose sum is σ = 1803116926017. Its totient is φ = 130459133952.

The previous prime is 488668106299. The next prime is 488668106309. The reversal of 488668106304 is 403601866884.

The square root of 488668106304 is 699048.

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

It is an interprime number because it is at equal distance from previous prime (488668106299) and next prime (488668106309).

It can be written as a sum of positive squares in only one way, i.e., 277391822400 + 211276283904 = 526680^2 + 459648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (488668106309) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6694083612 + ... + 6694083684.

Almost surely, 2^488668106304 is an apocalyptic number.

488668106304 is the 699048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488668106304

488668106304 is an abundant number, since it is smaller than the sum of its proper divisors (1314448819713).

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

488668106304 is an equidigital number, since it uses as much as digits as its factorization.

488668106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 488668106304 in words is "four hundred eighty-eight billion, six hundred sixty-eight million, one hundred six thousand, three hundred four".