232320040023232 has 112 divisors (see below), whose sum is σ = 529436313695232. Its totient is φ = 99080631982080.

The previous prime is 232320040023209. The next prime is 232320040023319.

232320040023232 is nontrivially palindromic in base 10.

232320040023232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×232320040023232³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232320040023232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725153193 + ... + 725473495.

Almost surely, 2^{232320040023232} 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 232320040023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264718156847616).

232320040023232 is an abundant number, since it is smaller than the sum of its proper divisors (297116273672000).

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

232320040023232 is a wasteful number, since it uses less digits than its factorization.

232320040023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328206 (or 328196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The spelling of 232320040023232 in words is "two hundred thirty-two trillion, three hundred twenty billion, forty million, twenty-three thousand, two hundred thirty-two".