488582171126784 has 528 divisors, whose sum is σ = 1697353809964800. Its totient is φ = 132233282224128.

The previous prime is 488582171126761. The next prime is 488582171126801. The reversal of 488582171126784 is 487621171285884.

488582171126784 is a `hidden beast` number, since 4 + 8 + 8 + 582 + 1 + 7 + 11 + 26 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15832713147 + ... + 15832744005.

Almost surely, 2^{488582171126784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488582171126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848676904982400).

488582171126784 is an abundant number, since it is smaller than the sum of its proper divisors (1208771638838016).

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

488582171126784 is a wasteful number, since it uses less digits than its factorization.

488582171126784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43828 (or 43807 counting only the distinct ones).

The product of its digits is 385351680, while the sum is 72.

It can be divided in two parts, 48858217 and 1126784, that added together give a triangular number (49985001 = T₉₉₉₈).

The spelling of 488582171126784 in words is "four hundred eighty-eight trillion, five hundred eighty-two billion, one hundred seventy-one million, one hundred twenty-six thousand, seven hundred eighty-four".