11723009036544 has 1215 divisors, whose sum is σ = 39786206778549. Its totient is φ = 3431557509120.

The previous prime is 11723009036539. The next prime is 11723009036551. The reversal of 11723009036544 is 44563090032711.

The square root of 11723009036544 is 3423888.

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

11723009036544 is a `hidden beast` number, since 1 + 1 + 72 + 3 + 0 + 0 + 9 + 0 + 36 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1734172934400 + 9988836102144 = 1316880^2 + 3160512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11723009036544.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 198695068387 + ... + 198695068445.

Almost surely, 2^{11723009036544} is an apocalyptic number.

11723009036544 is the 3423888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723009036544

11723009036544 is an abundant number, since it is smaller than the sum of its proper divisors (28063197742005).

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

11723009036544 is an frugal number, since it uses more digits than its factorization.

11723009036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 11723009036544 in words is "eleven trillion, seven hundred twenty-three billion, nine million, thirty-six thousand, five hundred forty-four".