466463943648 has 144 divisors (see below), whose sum is σ = 1337042122416. Its totient is φ = 154254551040.

The previous prime is 466463943641. The next prime is 466463943677. The reversal of 466463943648 is 846349364664.

466463943648 is a `hidden beast` number, since 46 + 6 + 463 + 94 + 3 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×466463943648² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466463943641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87629115 + ... + 87634437.

It is an arithmetic number, because the mean of its divisors is an integer number (9285014739).

Almost surely, 2^466463943648 is an apocalyptic number.

466463943648 is a gapful number since it is divisible by the number (48) 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 466463943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668521061208).

466463943648 is an abundant number, since it is smaller than the sum of its proper divisors (870578178768).

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

466463943648 is a wasteful number, since it uses less digits than its factorization.

466463943648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7686 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 63.

The spelling of 466463943648 in words is "four hundred sixty-six billion, four hundred sixty-three million, nine hundred forty-three thousand, six hundred forty-eight".