11506561505643 has 16 divisors (see below), whose sum is σ = 16316050325120. Its totient is φ = 7192381360896.

The previous prime is 11506561505629. The next prime is 11506561505651. The reversal of 11506561505643 is 34650516560511.

It is a happy number.

11506561505643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11506561505643 - 2¹⁴ = 11506561489259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11506561505592 and 11506561505601.

It is not an unprimeable number, because it can be changed into a prime (11506561505603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040558905 + ... + 1040569962.

It is an arithmetic number, because the mean of its divisors is an integer number (1019753145320).

Almost surely, 2^{11506561505643} is an apocalyptic number.

11506561505643 is a deficient number, since it is larger than the sum of its proper divisors (4809488819477).

11506561505643 is a wasteful number, since it uses less digits than its factorization.

11506561505643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081128986.

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 11506561505643 in words is "eleven trillion, five hundred six billion, five hundred sixty-one million, five hundred five thousand, six hundred forty-three".