11506101656 has 16 divisors (see below), whose sum is σ = 24655932240. Its totient is φ = 4931186400.

The previous prime is 11506101613. The next prime is 11506101697. The reversal of 11506101656 is 65610160511.

11506101656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 102732995 + ... + 102733106.

It is an arithmetic number, because the mean of its divisors is an integer number (1540995765).

Almost surely, 2^11506101656 is an apocalyptic number.

It is an amenable number.

11506101656 is an abundant number, since it is smaller than the sum of its proper divisors (13149830584).

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

11506101656 is a wasteful number, since it uses less digits than its factorization.

11506101656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205466114 (or 205466110 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 11506101656 in words is "eleven billion, five hundred six million, one hundred one thousand, six hundred fifty-six".