466541835264 has 264 divisors, whose sum is σ = 1402531690560. Its totient is φ = 154900905984.

The previous prime is 466541835257. The next prime is 466541835281. The reversal of 466541835264 is 462538145664.

466541835264 is a `hidden beast` number, since 4 + 6 + 6 + 541 + 8 + 35 + 2 + 64 = 666.

It is a super-2 number, since 2×466541835264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 466541835264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65439252 + ... + 65446380.

It is an arithmetic number, because the mean of its divisors is an integer number (5312620040).

Almost surely, 2^466541835264 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 466541835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701265845280).

466541835264 is an abundant number, since it is smaller than the sum of its proper divisors (935989855296).

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

466541835264 is an equidigital number, since it uses as much as digits as its factorization.

466541835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7397 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 466541835264 in words is "four hundred sixty-six billion, five hundred forty-one million, eight hundred thirty-five thousand, two hundred sixty-four".