11643616460 has 48 divisors (see below), whose sum is σ = 28216022016. Its totient is φ = 3953333952.

The previous prime is 11643616447. The next prime is 11643616463. The reversal of 11643616460 is 6461634611.

It is a happy number.

11643616460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11643616463) 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 15 ways as a sum of consecutive naturals, for example, 389312 + ... + 418151.

It is an arithmetic number, because the mean of its divisors is an integer number (587833792).

Almost surely, 2^11643616460 is an apocalyptic number.

11643616460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11643616460 is an abundant number, since it is smaller than the sum of its proper divisors (16572405556).

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

11643616460 is a wasteful number, since it uses less digits than its factorization.

11643616460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807582 (or 807580 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 11643616460 in words is "eleven billion, six hundred forty-three million, six hundred sixteen thousand, four hundred sixty".