22156085952 has 448 divisors, whose sum is σ = 87460531200. Its totient is φ = 5311733760.

The previous prime is 22156085923. The next prime is 22156085957. The reversal of 22156085952 is 25958065122.

22156085952 is a `hidden beast` number, since 2 + 2 + 1 + 56 + 0 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 22156085898 and 22156085907.

It is not an unprimeable number, because it can be changed into a prime (22156085957) 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 63 ways as a sum of consecutive naturals, for example, 1723324 + ... + 1736132.

It is an arithmetic number, because the mean of its divisors is an integer number (195224400).

Almost surely, 2^22156085952 is an apocalyptic number.

22156085952 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 22156085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730265600).

22156085952 is an abundant number, since it is smaller than the sum of its proper divisors (65304445248).

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

22156085952 is a wasteful number, since it uses less digits than its factorization.

22156085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 22156085952 in words is "twenty-two billion, one hundred fifty-six million, eighty-five thousand, nine hundred fifty-two".