466926718815168 has 448 divisors, whose sum is σ = 1316560294748160. Its totient is φ = 145735638478848.

The previous prime is 466926718815149. The next prime is 466926718815217. The reversal of 466926718815168 is 861518817629664.

It is a junction number, because it is equal to n+sod(n) for n = 466926718815093 and 466926718815102.

It is a congruent number.

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, 153746036946 + ... + 153746039982.

It is an arithmetic number, because the mean of its divisors is an integer number (2938750657920).

Almost surely, 2^{466926718815168} is an apocalyptic number.

466926718815168 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 466926718815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658280147374080).

466926718815168 is an abundant number, since it is smaller than the sum of its proper divisors (849633575932992).

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

466926718815168 is a wasteful number, since it uses less digits than its factorization.

466926718815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6214 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 78.

The spelling of 466926718815168 in words is "four hundred sixty-six trillion, nine hundred twenty-six billion, seven hundred eighteen million, eight hundred fifteen thousand, one hundred sixty-eight".