466184481664 has 32 divisors (see below), whose sum is σ = 1013156618040. Its totient is φ = 211902036480.

The previous prime is 466184481629. The next prime is 466184481667.

It is a happy number.

466184481664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 466184481599 and 466184481608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466184481667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165547059 + ... + 165549874.

Almost surely, 2^466184481664 is an apocalyptic number.

466184481664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466184481664 is an abundant number, since it is smaller than the sum of its proper divisors (546972136376).

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

466184481664 is a wasteful number, since it uses less digits than its factorization.

466184481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331096958 (or 331096946 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The spelling of 466184481664 in words is "four hundred sixty-six billion, one hundred eighty-four million, four hundred eighty-one thousand, six hundred sixty-four".