488516966784 has 1008 divisors, whose sum is σ = 1867837558860. Its totient is φ = 126743823360.

The previous prime is 488516966753. The next prime is 488516966797. The reversal of 488516966784 is 487669615884.

488516966784 is a `hidden beast` number, since 48 + 8 + 516 + 9 + 6 + 67 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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 125 ways as a sum of consecutive naturals, for example, 553246407 + ... + 553247289.

Almost surely, 2^488516966784 is an apocalyptic number.

488516966784 is a gapful number since it is divisible by the number (44) 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 488516966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933918779430).

488516966784 is an abundant number, since it is smaller than the sum of its proper divisors (1379320592076).

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

488516966784 is an equidigital number, since it uses as much as digits as its factorization.

488516966784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 906 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 488516966784 in words is "four hundred eighty-eight billion, five hundred sixteen million, nine hundred sixty-six thousand, seven hundred eighty-four".