488145765600 has 2304 divisors, whose sum is σ = 2120264294400. Its totient is φ = 107495424000.

The previous prime is 488145765577. The next prime is 488145765623. The reversal of 488145765600 is 6567541884.

488145765600 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 4 + 5 + 76 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488145765577) and next prime (488145765623).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8002389570 + ... + 8002389630.

It is an arithmetic number, because the mean of its divisors is an integer number (920253600).

Almost surely, 2^488145765600 is an apocalyptic number.

488145765600 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 488145765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060132147200).

488145765600 is an abundant number, since it is smaller than the sum of its proper divisors (1632118528800).

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

488145765600 is a wasteful number, since it uses less digits than its factorization.

488145765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 488145765600 in words is "four hundred eighty-eight billion, one hundred forty-five million, seven hundred sixty-five thousand, six hundred".