284632924420656 has 480 divisors, whose sum is σ = 965991226176000. Its totient is φ = 78603829747200.

The previous prime is 284632924420651. The next prime is 284632924420679. The reversal of 284632924420656 is 656024429236482.

284632924420656 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 329 + 244 + 2 + 0 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 284632924420593 and 284632924420602.

It is not an unprimeable number, because it can be changed into a prime (284632924420651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2385818895 + ... + 2385938193.

It is an arithmetic number, because the mean of its divisors is an integer number (2012481721200).

Almost surely, 2^{284632924420656} 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 284632924420656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482995613088000).

284632924420656 is an abundant number, since it is smaller than the sum of its proper divisors (681358301755344).

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

284632924420656 is a wasteful number, since it uses less digits than its factorization.

284632924420656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120206 (or 120163 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 284632924420656 in words is "two hundred eighty-four trillion, six hundred thirty-two billion, nine hundred twenty-four million, four hundred twenty thousand, six hundred fifty-six".