22906617216 has 384 divisors, whose sum is σ = 73808962560. Its totient is φ = 6269276160.

The previous prime is 22906617193. The next prime is 22906617257. The reversal of 22906617216 is 61271660922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22906617216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 100910095 + ... + 100910321.

It is an arithmetic number, because the mean of its divisors is an integer number (192210840).

Almost surely, 2^22906617216 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 22906617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36904481280).

22906617216 is an abundant number, since it is smaller than the sum of its proper divisors (50902345344).

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

22906617216 is a wasteful number, since it uses less digits than its factorization.

22906617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 22906617216 in words is "twenty-two billion, nine hundred six million, six hundred seventeen thousand, two hundred sixteen".