468118656 has 128 divisors (see below), whose sum is σ = 1454520000. Its totient is φ = 147806208.

The previous prime is 468118649. The next prime is 468118657. The reversal of 468118656 is 656811864.

468118656 is a `hidden beast` number, since 468 + 1 + 186 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (468118657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62100 + ... + 69228.

Almost surely, 2^468118656 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 468118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727260000).

468118656 is an abundant number, since it is smaller than the sum of its proper divisors (986401344).

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

468118656 is a wasteful number, since it uses less digits than its factorization.

468118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7153 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 468118656 is about 21636.0499167477. The cubic root of 468118656 is about 776.4592173347.

The spelling of 468118656 in words is "four hundred sixty-eight million, one hundred eighteen thousand, six hundred fifty-six".