466341483664 has 105 divisors (see below), whose sum is σ = 1088590408437. Its totient is φ = 192968889792.

The previous prime is 466341483653. The next prime is 466341483691. The reversal of 466341483664 is 466384143664.

It is a happy number.

The square root of 466341483664 is 682892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 199176549264 + 267164934400 = 446292^2 + 516880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16080740802 + ... + 16080740830.

Almost surely, 2^466341483664 is an apocalyptic number.

466341483664 is the 682892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466341483664

466341483664 is an abundant number, since it is smaller than the sum of its proper divisors (622248924773).

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

466341483664 is an frugal number, since it uses more digits than its factorization.

466341483664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 38 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 55.

The spelling of 466341483664 in words is "four hundred sixty-six billion, three hundred forty-one million, four hundred eighty-three thousand, six hundred sixty-four".