466405513344 has 512 divisors, whose sum is σ = 1513598400000. Its totient is φ = 140733186048.

The previous prime is 466405513337. The next prime is 466405513349. The reversal of 466405513344 is 443315504664.

466405513344 is a `hidden beast` number, since 4 + 6 + 64 + 0 + 551 + 3 + 34 + 4 = 666.

466405513344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 466405513344.

It is not an unprimeable number, because it can be changed into a prime (466405513349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778639957 + ... + 778640555.

It is an arithmetic number, because the mean of its divisors is an integer number (2956246875).

Almost surely, 2^466405513344 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 466405513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756799200000).

466405513344 is an abundant number, since it is smaller than the sum of its proper divisors (1047192886656).

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

466405513344 is a wasteful number, since it uses less digits than its factorization.

466405513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 466405513344 in words is "four hundred sixty-six billion, four hundred five million, five hundred thirteen thousand, three hundred forty-four".