22033242601344 has 384 divisors, whose sum is σ = 70559988710400. Its totient is φ = 6765563750400.

The previous prime is 22033242601343. The next prime is 22033242601351. The reversal of 22033242601344 is 44310624233022.

22033242601344 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 2 + 4 + 2 + 601 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22033242601344² (a number of 27 digits) contains 22 as substring.

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 = 22033242601299 and 22033242601308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033242601343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286737009 + ... + 286813839.

It is an arithmetic number, because the mean of its divisors is an integer number (183749970600).

Almost surely, 2^{22033242601344} is an apocalyptic number.

22033242601344 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 22033242601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35279994355200).

22033242601344 is an abundant number, since it is smaller than the sum of its proper divisors (48526746109056).

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

22033242601344 is a wasteful number, since it uses less digits than its factorization.

22033242601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77371 (or 77340 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 22033242601344 its reverse (44310624233022), we get a palindrome (66343866834366).

The spelling of 22033242601344 in words is "twenty-two trillion, thirty-three billion, two hundred forty-two million, six hundred one thousand, three hundred forty-four".