4284005806656 has 945 divisors, whose sum is σ = 14399226862779. Its totient is φ = 1258958536704.

The previous prime is 4284005806547. The next prime is 4284005806711. The reversal of 4284005806656 is 6566085004824.

The square root of 4284005806656 is 2069784.

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

4284005806656 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 0 + 0 + 580 + 6 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5661057600 + 4278344749056 = 75240^2 + 2068416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48134896660 + ... + 48134896748.

Almost surely, 2^{4284005806656} is an apocalyptic number.

4284005806656 is the 2069784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284005806656

4284005806656 is an abundant number, since it is smaller than the sum of its proper divisors (10115221056123).

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

4284005806656 is an equidigital number, since it uses as much as digits as its factorization.

4284005806656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4284005806656 in words is "four trillion, two hundred eighty-four billion, five million, eight hundred six thousand, six hundred fifty-six".