22258706459904 has 540 divisors, whose sum is σ = 70898282923468. Its totient is φ = 6944204390400.

The previous prime is 22258706459893. The next prime is 22258706459953. The reversal of 22258706459904 is 40995460785222.

22258706459904 is a `hidden beast` number, since 2 + 2 + 2 + 587 + 0 + 6 + 45 + 9 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18050459904 + 22240656000000 = 134352^2 + 4716000^2 .

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1084669164 + ... + 1084689684.

Almost surely, 2^{22258706459904} is an apocalyptic number.

22258706459904 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 22258706459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35449141461734).

22258706459904 is an abundant number, since it is smaller than the sum of its proper divisors (48639576463564).

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

22258706459904 is a wasteful number, since it uses less digits than its factorization.

22258706459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 22258706459904 in words is "twenty-two trillion, two hundred fifty-eight billion, seven hundred six million, four hundred fifty-nine thousand, nine hundred four".