22354056450 has 288 divisors, whose sum is σ = 67343814720. Its totient is φ = 5270054400.

The previous prime is 22354056433. The next prime is 22354056451. The reversal of 22354056450 is 5465045322.

22354056450 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 4 + 0 + 5 + 645 + 0 = 666.

It is a super-3 number, since 3×22354056450³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22354056451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36466344 + ... + 36466956.

It is an arithmetic number, because the mean of its divisors is an integer number (233832690).

Almost surely, 2^22354056450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22354056450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33671907360).

22354056450 is an abundant number, since it is smaller than the sum of its proper divisors (44989758270).

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

22354056450 is a wasteful number, since it uses less digits than its factorization.

22354056450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 22354056450 in words is "twenty-two billion, three hundred fifty-four million, fifty-six thousand, four hundred fifty".