20124824414688 has 1152 divisors, whose sum is σ = 75607354368000. Its totient is φ = 4942347632640.

The previous prime is 20124824414657. The next prime is 20124824414699. The reversal of 20124824414688 is 88641442842102.

20124824414688 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 82 + 441 + 46 + 88 = 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 191 ways as a sum of consecutive naturals, for example, 1518962688 + ... + 1518975936.

It is an arithmetic number, because the mean of its divisors is an integer number (65631384000).

Almost surely, 2^{20124824414688} is an apocalyptic number.

20124824414688 is a gapful number since it is divisible by the number (28) 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 20124824414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37803677184000).

20124824414688 is an abundant number, since it is smaller than the sum of its proper divisors (55482529953312).

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

20124824414688 is a wasteful number, since it uses less digits than its factorization.

20124824414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 20124824414688 in words is "twenty trillion, one hundred twenty-four billion, eight hundred twenty-four million, four hundred fourteen thousand, six hundred eighty-eight".