11648011110012 has 72 divisors (see below), whose sum is σ = 29725096093056. Its totient is φ = 3845563330464.

The previous prime is 11648011109899. The next prime is 11648011110041. The reversal of 11648011110012 is 21001111084611.

11648011110012 is a `hidden beast` number, since 1 + 1 + 648 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 12 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17872873 + ... + 18513119.

It is an arithmetic number, because the mean of its divisors is an integer number (412848556848).

Almost surely, 2^{11648011110012} is an apocalyptic number.

11648011110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11648011110012 is an abundant number, since it is smaller than the sum of its proper divisors (18077084983044).

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

11648011110012 is a wasteful number, since it uses less digits than its factorization.

11648011110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645087 (or 645082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

Adding to 11648011110012 its reverse (21001111084611), we get a palindrome (32649122194623).

The spelling of 11648011110012 in words is "eleven trillion, six hundred forty-eight billion, eleven million, one hundred ten thousand, twelve".