21124113523344 has 180 divisors, whose sum is σ = 64892473445124. Its totient is φ = 6410689339392.

The previous prime is 21124113523319. The next prime is 21124113523367. The reversal of 21124113523344 is 44332531142112.

21124113523344 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 411 + 3 + 5 + 233 + 4 + 4 = 666.

21124113523344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 297120927744 + 20826992595600 = 545088^2 + 4563660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21124113523299 and 21124113523308.

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 35 ways as a sum of consecutive naturals, for example, 4168809 + ... + 7721864.

Almost surely, 2^{21124113523344} is an apocalyptic number.

21124113523344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21124113523344 is an abundant number, since it is smaller than the sum of its proper divisors (43768359921780).

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

21124113523344 is a wasteful number, since it uses less digits than its factorization.

21124113523344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890786 (or 11890764 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 21124113523344 its reverse (44332531142112), we get a palindrome (65456644665456).

The spelling of 21124113523344 in words is "twenty-one trillion, one hundred twenty-four billion, one hundred thirteen million, five hundred twenty-three thousand, three hundred forty-four".