11461248474768 has 120 divisors (see below), whose sum is σ = 32162127117120. Its totient is φ = 3810118314240.

The previous prime is 11461248474737. The next prime is 11461248474829. The reversal of 11461248474768 is 86747484216411.

11461248474768 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 12 + 484 + 74 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103449963 + ... + 103560693.

It is an arithmetic number, because the mean of its divisors is an integer number (268017725976).

Almost surely, 2^{11461248474768} is an apocalyptic number.

11461248474768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11461248474768 is an abundant number, since it is smaller than the sum of its proper divisors (20700878642352).

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

11461248474768 is a wasteful number, since it uses less digits than its factorization.

11461248474768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112677 (or 112668 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 11461248474768 in words is "eleven trillion, four hundred sixty-one billion, two hundred forty-eight million, four hundred seventy-four thousand, seven hundred sixty-eight".