488533945891600 has 360 divisors, whose sum is σ = 1445741431659720. Its totient is φ = 157633632092160.

The previous prime is 488533945891577. The next prime is 488533945891609. The reversal of 488533945891600 is 6198549335884.

It can be written as a sum of positive squares in 12 ways, for example, as 93371868319744 + 395162077571856 = 9662912^2 + 19878684^2 .

It is a hoax number, since the sum of its digits (73) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (488533945891609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5793972642 + ... + 5794056958.

It is an arithmetic number, because the mean of its divisors is an integer number (4015948421277).

Almost surely, 2^{488533945891600} is an apocalyptic number.

488533945891600 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 488533945891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722870715829860).

488533945891600 is an abundant number, since it is smaller than the sum of its proper divisors (957207485768120).

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

488533945891600 is a wasteful number, since it uses less digits than its factorization.

488533945891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101755 (or 101737 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 73.

The spelling of 488533945891600 in words is "four hundred eighty-eight trillion, five hundred thirty-three billion, nine hundred forty-five million, eight hundred ninety-one thousand, six hundred".