466672287168 has 224 divisors, whose sum is σ = 1380348979200. Its totient is φ = 154605652992.

The previous prime is 466672287163. The next prime is 466672287217. The reversal of 466672287168 is 861782276664.

It is a super-2 number, since 2×466672287168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466672287163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339891730 + ... + 339893102.

Almost surely, 2^466672287168 is an apocalyptic number.

466672287168 is a gapful number since it is divisible by the number (48) 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 466672287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690174489600).

466672287168 is an abundant number, since it is smaller than the sum of its proper divisors (913676692032).

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

466672287168 is a wasteful number, since it uses less digits than its factorization.

466672287168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 466672287168 in words is "four hundred sixty-six billion, six hundred seventy-two million, two hundred eighty-seven thousand, one hundred sixty-eight".