11906961648 has 40 divisors (see below), whose sum is σ = 32378582400. Its totient is φ = 3760092864.

The previous prime is 11906961641. The next prime is 11906961679. The reversal of 11906961648 is 84616960911.

11906961648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11906961648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906961641) 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 7 ways as a sum of consecutive naturals, for example, 6527028 + ... + 6528851.

It is an arithmetic number, because the mean of its divisors is an integer number (809464560).

Almost surely, 2^11906961648 is an apocalyptic number.

It is an amenable number.

11906961648 is an abundant number, since it is smaller than the sum of its proper divisors (20471620752).

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

11906961648 is a wasteful number, since it uses less digits than its factorization.

11906961648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055909 (or 13055903 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 11906961648 in words is "eleven billion, nine hundred six million, nine hundred sixty-one thousand, six hundred forty-eight".