22216626432 has 1152 divisors, whose sum is σ = 93402624000. Its totient is φ = 5046312960.

The previous prime is 22216626403. The next prime is 22216626437. The reversal of 22216626432 is 23462661222.

22216626432 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 6 + 6 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22216626437) 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 127 ways as a sum of consecutive naturals, for example, 1169296119 + ... + 1169296137.

Almost surely, 2^22216626432 is an apocalyptic number.

22216626432 is a gapful number since it is divisible by the number (22) 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 22216626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46701312000).

22216626432 is an abundant number, since it is smaller than the sum of its proper divisors (71185997568).

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

22216626432 is a wasteful number, since it uses less digits than its factorization.

22216626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 22216626432 in words is "twenty-two billion, two hundred sixteen million, six hundred twenty-six thousand, four hundred thirty-two".