22129196544 has 640 divisors, whose sum is σ = 82494720000. Its totient is φ = 5820014592.

The previous prime is 22129196533. The next prime is 22129196549. The reversal of 22129196544 is 44569192122.

22129196544 is a `hidden beast` number, since 2 + 2 + 12 + 9 + 1 + 96 + 544 = 666.

Its product of digits (311040) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 22129196544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22129196549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61641037 + ... + 61641395.

It is an arithmetic number, because the mean of its divisors is an integer number (128898000).

Almost surely, 2^22129196544 is an apocalyptic number.

22129196544 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 22129196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360000).

22129196544 is an abundant number, since it is smaller than the sum of its proper divisors (60365523456).

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

22129196544 is an equidigital number, since it uses as much as digits as its factorization.

22129196544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 384 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 22129196544 in words is "twenty-two billion, one hundred twenty-nine million, one hundred ninety-six thousand, five hundred forty-four".