466804850688 has 1260 divisors, whose sum is σ = 1714790168280. Its totient is φ = 126127964160.

The previous prime is 466804850657. The next prime is 466804850741. The reversal of 466804850688 is 886058408664.

466804850688 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 0 + 48 + 506 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24568676343 + ... + 24568676361.

It is an arithmetic number, because the mean of its divisors is an integer number (1360944578).

Almost surely, 2^466804850688 is an apocalyptic number.

466804850688 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 466804850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857395084140).

466804850688 is an abundant number, since it is smaller than the sum of its proper divisors (1247985317592).

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

466804850688 is an equidigital number, since it uses as much as digits as its factorization.

466804850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 466804850688 in words is "four hundred sixty-six billion, eight hundred four million, eight hundred fifty thousand, six hundred eighty-eight".