632232133128 has 108 divisors (see below), whose sum is σ = 1734710480685. Its totient is φ = 208020544128.

The previous prime is 632232133123. The next prime is 632232133147. The reversal of 632232133128 is 821331232236.

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.

632232133128 is a `hidden beast` number, since 6 + 322 + 3 + 2 + 13 + 312 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492357629124 + 139874504004 = 701682^2 + 373998^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=562242.

It is a super-2 number, since 2×632232133128² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 632232133092 and 632232133101.

It is not an unprimeable number, because it can be changed into a prime (632232133123) by changing a digit.

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, 559992468 + ... + 559993596.

Almost surely, 2^632232133128 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 632232133128

632232133128 is an abundant number, since it is smaller than the sum of its proper divisors (1102478347557).

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

632232133128 is an equidigital number, since it uses as much as digits as its factorization.

632232133128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 1217 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 632232133128 in words is "six hundred thirty-two billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty-eight".