22248761133144 has 512 divisors, whose sum is σ = 72136753920000. Its totient is φ = 5678635382784.

The previous prime is 22248761133097. The next prime is 22248761133149. The reversal of 22248761133144 is 44133116784222.

It is a happy number.

It is a super-3 number, since 3×22248761133144³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22248761133093 and 22248761133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22248761133149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501561814 + ... + 501606170.

It is an arithmetic number, because the mean of its divisors is an integer number (140892097500).

Almost surely, 2^{22248761133144} is an apocalyptic number.

22248761133144 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 22248761133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068376960000).

22248761133144 is an abundant number, since it is smaller than the sum of its proper divisors (49887992786856).

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

22248761133144 is a wasteful number, since it uses less digits than its factorization.

22248761133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44552 (or 44534 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 22248761133144 in words is "twenty-two trillion, two hundred forty-eight billion, seven hundred sixty-one million, one hundred thirty-three thousand, one hundred forty-four".