466787284128 has 144 divisors (see below), whose sum is σ = 1487239711776. Its totient is φ = 137627665920.

The previous prime is 466787284127. The next prime is 466787284177. The reversal of 466787284128 is 821482787664.

466787284128 is a `hidden beast` number, since 466 + 7 + 8 + 72 + 84 + 1 + 28 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (466787284127) 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, 1873926 + ... + 2108357.

It is an arithmetic number, because the mean of its divisors is an integer number (10328053554).

Almost surely, 2^466787284128 is an apocalyptic number.

466787284128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

466787284128 is an abundant number, since it is smaller than the sum of its proper divisors (1020452427648).

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

466787284128 is a wasteful number, since it uses less digits than its factorization.

466787284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982347 (or 3982336 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 466787284128 in words is "four hundred sixty-six billion, seven hundred eighty-seven million, two hundred eighty-four thousand, one hundred twenty-eight".