22349623104 has 504 divisors, whose sum is σ = 72403508736. Its totient is φ = 6580224000.

The previous prime is 22349623103. The next prime is 22349623123. The reversal of 22349623104 is 40132694322.

22349623104 is a `hidden beast` number, since 2 + 23 + 4 + 9 + 623 + 1 + 0 + 4 = 666.

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 (22349623103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 314783389 + ... + 314783459.

Almost surely, 2^22349623104 is an apocalyptic number.

22349623104 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 22349623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36201754368).

22349623104 is an abundant number, since it is smaller than the sum of its proper divisors (50053885632).

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

22349623104 is a wasteful number, since it uses less digits than its factorization.

22349623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 22349623104 in words is "twenty-two billion, three hundred forty-nine million, six hundred twenty-three thousand, one hundred four".