20148222442752 has 432 divisors, whose sum is σ = 64211605331328. Its totient is φ = 6043566735360.

The previous prime is 20148222442721. The next prime is 20148222442771. The reversal of 20148222442752 is 25724422284102.

It is a junction number, because it is equal to n+sod(n) for n = 20148222442698 and 20148222442707.

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 47 ways as a sum of consecutive naturals, for example, 3425982852 + ... + 3425988732.

It is an arithmetic number, because the mean of its divisors is an integer number (148637975304).

Almost surely, 2^{20148222442752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20148222442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32105802665664).

20148222442752 is an abundant number, since it is smaller than the sum of its proper divisors (44063382888576).

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

20148222442752 is a wasteful number, since it uses less digits than its factorization.

20148222442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 20148222442752 in words is "twenty trillion, one hundred forty-eight billion, two hundred twenty-two million, four hundred forty-two thousand, seven hundred fifty-two".