2305432345032 has 48 divisors (see below), whose sum is σ = 6245927707500. Its totient is φ = 768225332736.

The previous prime is 2305432344991. The next prime is 2305432345049.

It is a happy number.

2305432345032 is a `hidden beast` number, since 2 + 3 + 0 + 543 + 2 + 34 + 50 + 32 = 666.

2305432345032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1789457342436 + 515975002596 = 1337706^2 + 718314^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5031357 + ... + 5470412.

Almost surely, 2^{2305432345032} is an apocalyptic number.

It is an amenable number.

2305432345032 is an abundant number, since it is smaller than the sum of its proper divisors (3940495362468).

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

2305432345032 is a wasteful number, since it uses less digits than its factorization.

2305432345032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504830 (or 10504823 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 2305432345032 in words is "two trillion, three hundred five billion, four hundred thirty-two million, three hundred forty-five thousand, thirty-two".