488925956506176 has 448 divisors, whose sum is σ = 1682397813760000. Its totient is φ = 139177611901440.

The previous prime is 488925956506151. The next prime is 488925956506237. The reversal of 488925956506176 is 671605659529884.

488925956506176 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 2 + 5 + 95 + 6 + 506 + 17 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×488925956506176² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488925956506095 and 488925956506104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159100815 + ... + 162144753.

Almost surely, 2^{488925956506176} 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 488925956506176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841198906880000).

488925956506176 is an abundant number, since it is smaller than the sum of its proper divisors (1193471857253824).

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

488925956506176 is a wasteful number, since it uses less digits than its factorization.

488925956506176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044252 (or 3044222 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 81.

The spelling of 488925956506176 in words is "four hundred eighty-eight trillion, nine hundred twenty-five billion, nine hundred fifty-six million, five hundred six thousand, one hundred seventy-six".