22482177152 has 72 divisors (see below), whose sum is σ = 46488131235. Its totient is φ = 10829715456.

The previous prime is 22482177143. The next prime is 22482177173. The reversal of 22482177152 is 25177128422.

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 5 ways, for example, as 19808873536 + 2673303616 = 140744^2 + 51704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106024.

It is a super-2 number, since 2×22482177152² (a number of 22 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 49194908 + ... + 49195364.

Almost surely, 2^22482177152 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 22482177152

22482177152 is an abundant number, since it is smaller than the sum of its proper divisors (24005954083).

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

22482177152 is an frugal number, since it uses more digits than its factorization.

22482177152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 488 counting only the distinct ones).

The product of its digits is 125440, while the sum is 41.

The spelling of 22482177152 in words is "twenty-two billion, four hundred eighty-two million, one hundred seventy-seven thousand, one hundred fifty-two".