11741338656 has 36 divisors (see below), whose sum is σ = 33389432622. Its totient is φ = 3913779456.

The previous prime is 11741338603. The next prime is 11741338669. The reversal of 11741338656 is 65683314711.

11741338656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9817639056 + 1923699600 = 99084^2 + 43860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 20383981 + ... + 20384556.

Almost surely, 2^11741338656 is an apocalyptic number.

11741338656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11741338656 is an abundant number, since it is smaller than the sum of its proper divisors (21648093966).

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

11741338656 is a wasteful number, since it uses less digits than its factorization.

11741338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40768553 (or 40768542 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 11741338656 in words is "eleven billion, seven hundred forty-one million, three hundred thirty-eight thousand, six hundred fifty-six".