466212063744 has 320 divisors, whose sum is σ = 1645746094080. Its totient is φ = 127411384320.

The previous prime is 466212063719. The next prime is 466212063839. The reversal of 466212063744 is 447360212664.

466212063744 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 1 + 2 + 0 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 466212063744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120929 + ... + 2330399.

It is an arithmetic number, because the mean of its divisors is an integer number (5142956544).

Almost surely, 2^466212063744 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 466212063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822873047040).

466212063744 is an abundant number, since it is smaller than the sum of its proper divisors (1179534030336).

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

466212063744 is a wasteful number, since it uses less digits than its factorization.

466212063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209528 (or 209506 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 466212063744 in words is "four hundred sixty-six billion, two hundred twelve million, sixty-three thousand, seven hundred forty-four".