11485386460 has 48 divisors (see below), whose sum is σ = 24208924320. Its totient is φ = 4577126400.

The previous prime is 11485386449. The next prime is 11485386469. The reversal of 11485386460 is 6468358411.

11485386460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11485386460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11485386469) 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, 11382436 + ... + 11383444.

It is an arithmetic number, because the mean of its divisors is an integer number (504352590).

Almost surely, 2^11485386460 is an apocalyptic number.

11485386460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11485386460 is an abundant number, since it is smaller than the sum of its proper divisors (12723537860).

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

11485386460 is a wasteful number, since it uses less digits than its factorization.

11485386460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 11485386460 in words is "eleven billion, four hundred eighty-five million, three hundred eighty-six thousand, four hundred sixty".