488466801216 has 315 divisors, whose sum is σ = 1540852025097. Its totient is φ = 152976107520.

The previous prime is 488466801203. The next prime is 488466801257. The reversal of 488466801216 is 612108664884.

It is a happy number.

The square root of 488466801216 is 698904.

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

488466801216 is a `hidden beast` number, since 4 + 88 + 466 + 80 + 1 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380294222400 + 108172578816 = 616680^2 + 328896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 855458211 + ... + 855458781.

Almost surely, 2^488466801216 is an apocalyptic number.

488466801216 is the 698904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488466801216

488466801216 is an abundant number, since it is smaller than the sum of its proper divisors (1052385223881).

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

488466801216 is an frugal number, since it uses more digits than its factorization.

488466801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 488466801216 in words is "four hundred eighty-eight billion, four hundred sixty-six million, eight hundred one thousand, two hundred sixteen".