466563365664 has 288 divisors, whose sum is σ = 1369777469760. Its totient is φ = 138927360000.

The previous prime is 466563365633. The next prime is 466563365699.

466563365664 is nontrivially palindromic in base 10.

466563365664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 466563365598 and 466563365607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163075594 + ... + 163078454.

It is an arithmetic number, because the mean of its divisors is an integer number (4756171770).

Almost surely, 2^466563365664 is an apocalyptic number.

466563365664 is a gapful number since it is divisible by the number (44) 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 466563365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684888734880).

466563365664 is an abundant number, since it is smaller than the sum of its proper divisors (903214104096).

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

466563365664 is a wasteful number, since it uses less digits than its factorization.

466563365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3117 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 60.

The spelling of 466563365664 in words is "four hundred sixty-six billion, five hundred sixty-three million, three hundred sixty-five thousand, six hundred sixty-four".