125332220448 has 162 divisors, whose sum is σ = 372994730199. Its totient is φ = 39916939392.

The previous prime is 125332220383. The next prime is 125332220479. The reversal of 125332220448 is 844022233521.

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.

125332220448 is a `hidden beast` number, since 125 + 3 + 322 + 204 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62666110224 + 62666110224 = 250332^2 + 250332^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250332.

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

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 26 ways as a sum of consecutive naturals, for example, 138182811 + ... + 138183717.

Almost surely, 2^125332220448 is an apocalyptic number.

125332220448 is a gapful number since it is divisible by the number (18) 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 125332220448

125332220448 is an abundant number, since it is smaller than the sum of its proper divisors (247662509751).

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

125332220448 is an frugal number, since it uses more digits than its factorization.

125332220448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 125332220448 its reverse (844022233521), we get a palindrome (969354453969).

The spelling of 125332220448 in words is "one hundred twenty-five billion, three hundred thirty-two million, two hundred twenty thousand, four hundred forty-eight".