22434439104 has 1120 divisors, whose sum is σ = 89694105600. Its totient is φ = 5486745600.

The previous prime is 22434439103. The next prime is 22434439127. The reversal of 22434439104 is 40193443422.

22434439104 is a `hidden beast` number, since 224 + 3 + 44 + 391 + 0 + 4 = 666.

It is a super-2 number, since 2×22434439104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434439103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 606336174 + ... + 606336210.

Almost surely, 2^22434439104 is an apocalyptic number.

22434439104 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 22434439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44847052800).

22434439104 is an abundant number, since it is smaller than the sum of its proper divisors (67259666496).

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

22434439104 is a wasteful number, since it uses less digits than its factorization.

22434439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22434439104 in words is "twenty-two billion, four hundred thirty-four million, four hundred thirty-nine thousand, one hundred four".