468599648176 has 80 divisors (see below), whose sum is σ = 1004855685120. Its totient is φ = 209920112640.

The previous prime is 468599648147. The next prime is 468599648299. The reversal of 468599648176 is 671846995864.

It is a junction number, because it is equal to n+sod(n) for n = 468599648099 and 468599648108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4022785 + ... + 4137631.

It is an arithmetic number, because the mean of its divisors is an integer number (12560696064).

Almost surely, 2^468599648176 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 468599648176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502427842560).

468599648176 is an abundant number, since it is smaller than the sum of its proper divisors (536256036944).

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

468599648176 is a wasteful number, since it uses less digits than its factorization.

468599648176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115202 (or 115196 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 73.

The spelling of 468599648176 in words is "four hundred sixty-eight billion, five hundred ninety-nine million, six hundred forty-eight thousand, one hundred seventy-six".