466248614976 has 189 divisors, whose sum is σ = 1398179185221. Its totient is φ = 148538801664.

The previous prime is 466248614939. The next prime is 466248615031. The reversal of 466248614976 is 679416842664.

It is a happy number.

The square root of 466248614976 is 682824.

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

466248614976 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 4 + 8 + 614 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352123560000 + 114125054976 = 593400^2 + 337824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376918230 + ... + 376919466.

Almost surely, 2^466248614976 is an apocalyptic number.

466248614976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

466248614976 is the 682824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466248614976

466248614976 is an abundant number, since it is smaller than the sum of its proper divisors (931930570245).

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

466248614976 is an equidigital number, since it uses as much as digits as its factorization.

466248614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 1265 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 466248614976 in words is "four hundred sixty-six billion, two hundred forty-eight million, six hundred fourteen thousand, nine hundred seventy-six".