22806632448 has 288 divisors, whose sum is σ = 68363961120. Its totient is φ = 7319715840.

The previous prime is 22806632411. The next prime is 22806632467. The reversal of 22806632448 is 84423660822.

22806632448 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 6 + 632 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22806632448³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77838190 + ... + 77838482.

It is an arithmetic number, because the mean of its divisors is an integer number (237374865).

Almost surely, 2^22806632448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22806632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181980560).

22806632448 is an abundant number, since it is smaller than the sum of its proper divisors (45557328672).

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

22806632448 is a wasteful number, since it uses less digits than its factorization.

22806632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 22806632448 in words is "twenty-two billion, eight hundred six million, six hundred thirty-two thousand, four hundred forty-eight".