11384972854128 has 320 divisors, whose sum is σ = 34795272960000. Its totient is φ = 3558421601280.

The previous prime is 11384972854081. The next prime is 11384972854169. The reversal of 11384972854128 is 82145827948311.

11384972854128 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 49 + 7 + 28 + 541 + 28 = 666.

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 63 ways as a sum of consecutive naturals, for example, 60278143 + ... + 60466721.

It is an arithmetic number, because the mean of its divisors is an integer number (108735228000).

Almost surely, 2^{11384972854128} is an apocalyptic number.

11384972854128 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 11384972854128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397636480000).

11384972854128 is an abundant number, since it is smaller than the sum of its proper divisors (23410300105872).

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

11384972854128 is a wasteful number, since it uses less digits than its factorization.

11384972854128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188765 (or 188753 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 11384972854128 in words is "eleven trillion, three hundred eighty-four billion, nine hundred seventy-two million, eight hundred fifty-four thousand, one hundred twenty-eight".