22461825152 has 72 divisors (see below), whose sum is σ = 48502714365. Its totient is φ = 10356822528.

The previous prime is 22461825143. The next prime is 22461825163. The reversal of 22461825152 is 25152816422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19205525056 + 3256300096 = 138584^2 + 57064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105976.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22042499 + ... + 22043517.

Almost surely, 2^22461825152 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 22461825152

22461825152 is an abundant number, since it is smaller than the sum of its proper divisors (26040889213).

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

22461825152 is an frugal number, since it uses more digits than its factorization.

22461825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 1034 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The spelling of 22461825152 in words is "twenty-two billion, four hundred sixty-one million, eight hundred twenty-five thousand, one hundred fifty-two".