232002141200232 has 128 divisors (see below), whose sum is σ = 628028358249600. Its totient is φ = 70996152019968.

The previous prime is 232002141200189. The next prime is 232002141200339.

232002141200232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162722998 + ... + 164142554.

It is an arithmetic number, because the mean of its divisors is an integer number (4906471548825).

Almost surely, 2^{232002141200232} 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 232002141200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314014179124800).

232002141200232 is an abundant number, since it is smaller than the sum of its proper divisors (396026217049368).

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

232002141200232 is a wasteful number, since it uses less digits than its factorization.

232002141200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422435 (or 1422431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 232002141200232 in words is "two hundred thirty-two trillion, two billion, one hundred forty-one million, two hundred thousand, two hundred thirty-two".