22175406144 has 336 divisors, whose sum is σ = 67100866560. Its totient is φ = 6996003840.

The previous prime is 22175406131. The next prime is 22175406167. The reversal of 22175406144 is 44160457122.

22175406144 is a `hidden beast` number, since 2 + 2 + 17 + 540 + 61 + 44 = 666.

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 = 22175406099 and 22175406108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159535227 + ... + 159535365.

It is an arithmetic number, because the mean of its divisors is an integer number (199704960).

Almost surely, 2^22175406144 is an apocalyptic number.

22175406144 is a gapful number since it is divisible by the number (24) 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 22175406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550433280).

22175406144 is an abundant number, since it is smaller than the sum of its proper divisors (44925460416).

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

22175406144 is a wasteful number, since it uses less digits than its factorization.

22175406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22175406144 in words is "twenty-two billion, one hundred seventy-five million, four hundred six thousand, one hundred forty-four".