22148829405252 has 288 divisors, whose sum is σ = 64804393180800. Its totient is φ = 6303831552000.

The previous prime is 22148829405239. The next prime is 22148829405259. The reversal of 22148829405252 is 25250492884122.

22148829405252 is a `hidden beast` number, since 2 + 2 + 1 + 488 + 29 + 40 + 52 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (22148829405259) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11651145502 + ... + 11651147402.

It is an arithmetic number, because the mean of its divisors is an integer number (225015254100).

Almost surely, 2^{22148829405252} is an apocalyptic number.

22148829405252 is a gapful number since it is divisible by the number (22) 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 22148829405252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32402196590400).

22148829405252 is an abundant number, since it is smaller than the sum of its proper divisors (42655563775548).

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

22148829405252 is a wasteful number, since it uses less digits than its factorization.

22148829405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 22148829405252 in words is "twenty-two trillion, one hundred forty-eight billion, eight hundred twenty-nine million, four hundred five thousand, two hundred fifty-two".