22198554144 has 240 divisors, whose sum is σ = 73366679232. Its totient is φ = 6533125632.

The previous prime is 22198554139. The next prime is 22198554181. The reversal of 22198554144 is 44145589122.

22198554144 is a `hidden beast` number, since 2 + 2 + 1 + 98 + 554 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×22198554144³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22198554144.

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 39 ways as a sum of consecutive naturals, for example, 760687 + ... + 789329.

Almost surely, 2^22198554144 is an apocalyptic number.

22198554144 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 22198554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36683339616).

22198554144 is an abundant number, since it is smaller than the sum of its proper divisors (51168125088).

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

22198554144 is a wasteful number, since it uses less digits than its factorization.

22198554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28701 (or 28684 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 22198554144 in words is "twenty-two billion, one hundred ninety-eight million, five hundred fifty-four thousand, one hundred forty-four".