11234416048128 has 1536 divisors, whose sum is σ = 42717362688000. Its totient is φ = 2837454520320.

The previous prime is 11234416048109. The next prime is 11234416048153. The reversal of 11234416048128 is 82184061443211.

11234416048128 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 4 + 4 + 160 + 481 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24369665818 + ... + 24369666278.

It is an arithmetic number, because the mean of its divisors is an integer number (27810783000).

Almost surely, 2^{11234416048128} is an apocalyptic number.

11234416048128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234416048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21358681344000).

11234416048128 is an abundant number, since it is smaller than the sum of its proper divisors (31482946639872).

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

11234416048128 is a wasteful number, since it uses less digits than its factorization.

11234416048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 11234416048128 in words is "eleven trillion, two hundred thirty-four billion, four hundred sixteen million, forty-eight thousand, one hundred twenty-eight".