1252433147328 has 336 divisors, whose sum is σ = 4051050958080. Its totient is φ = 379152069120.

The previous prime is 1252433147327. The next prime is 1252433147333. The reversal of 1252433147328 is 8237413342521.

1252433147328 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 4 + 3 + 314 + 7 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252433147321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273275725 + ... + 273280307.

It is an arithmetic number, because the mean of its divisors is an integer number (12056699280).

Almost surely, 2^{1252433147328} is an apocalyptic number.

1252433147328 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 1252433147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025525479040).

1252433147328 is an abundant number, since it is smaller than the sum of its proper divisors (2798617810752).

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

1252433147328 is a wasteful number, since it uses less digits than its factorization.

1252433147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5906 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

Adding to 1252433147328 its reverse (8237413342521), we get a palindrome (9489846489849).

The spelling of 1252433147328 in words is "one trillion, two hundred fifty-two billion, four hundred thirty-three million, one hundred forty-seven thousand, three hundred twenty-eight".