11732104646656 has 117 divisors (see below), whose sum is σ = 23726884796013. Its totient is φ = 5800397783040.

The previous prime is 11732104646617. The next prime is 11732104646677. The reversal of 11732104646656 is 65664640123711.

The square root of 11732104646656 is 3425216.

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

It can be written as a sum of positive squares in only one way, i.e., 8177220653056 + 3554883993600 = 2859584^2 + 1885440^2 .

It is a super-2 number, since 2×11732104646656² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23894306571 + ... + 23894307061.

Almost surely, 2^{11732104646656} is an apocalyptic number.

11732104646656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11732104646656 is the 3425216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11732104646656

11732104646656 is an abundant number, since it is smaller than the sum of its proper divisors (11994780149357).

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

11732104646656 is an frugal number, since it uses more digits than its factorization.

11732104646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 11732104646656 in words is "eleven trillion, seven hundred thirty-two billion, one hundred four million, six hundred forty-six thousand, six hundred fifty-six".