4712007952656 has 135 divisors (see below), whose sum is σ = 13555890688431. Its totient is φ = 1527906212352.

The previous prime is 4712007952643. The next prime is 4712007952657. The reversal of 4712007952656 is 6562597002174.

It is a happy number.

The square root of 4712007952656 is 2170716.

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

4712007952656 is a `hidden beast` number, since 47 + 1 + 2 + 0 + 0 + 79 + 526 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1772785731600 + 2939222221056 = 1331460^2 + 1714416^2 .

It is not an unprimeable number, because it can be changed into a prime (4712007952657) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 963795460 + ... + 963800348.

Almost surely, 2^{4712007952656} is an apocalyptic number.

4712007952656 is the 2170716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4712007952656

4712007952656 is an abundant number, since it is smaller than the sum of its proper divisors (8843882735775).

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

4712007952656 is an frugal number, since it uses more digits than its factorization.

4712007952656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4712007952656 in words is "four trillion, seven hundred twelve billion, seven million, nine hundred fifty-two thousand, six hundred fifty-six".