488182541708160 has 2048 divisors, whose sum is σ = 2100915823104000. Its totient is φ = 107145418899456.

The previous prime is 488182541708137. The next prime is 488182541708261. The reversal of 488182541708160 is 61807145281884.

488182541708160 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 8 + 2 + 541 + 7 + 0 + 81 + 6 + 0 = 666.

It is a super-2 number, since 2×488182541708160² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5877214789 + ... + 5877297851.

It is an arithmetic number, because the mean of its divisors is an integer number (1025837804250).

Almost surely, 2^{488182541708160} is an apocalyptic number.

488182541708160 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 488182541708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050457911552000).

488182541708160 is an abundant number, since it is smaller than the sum of its proper divisors (1612733281395840).

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

488182541708160 is a wasteful number, since it uses less digits than its factorization.

488182541708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83152 (or 83122 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 488182541708160 in words is "four hundred eighty-eight trillion, one hundred eighty-two billion, five hundred forty-one million, seven hundred eight thousand, one hundred sixty".