432165645523264 has 112 divisors (see below), whose sum is σ = 937407106331136. Its totient is φ = 196792469913600.

The previous prime is 432165645523201. The next prime is 432165645523393. The reversal of 432165645523264 is 462325546561234.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 432165645523199 and 432165645523208.

It is a congruent number.

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, 347823832 + ... + 349064104.

It is an arithmetic number, because the mean of its divisors is an integer number (8369706306528).

Almost surely, 2^{432165645523264} 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 432165645523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468703553165568).

432165645523264 is an abundant number, since it is smaller than the sum of its proper divisors (505241460807872).

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

432165645523264 is a wasteful number, since it uses less digits than its factorization.

432165645523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250664 (or 1250654 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 58.

The spelling of 432165645523264 in words is "four hundred thirty-two trillion, one hundred sixty-five billion, six hundred forty-five million, five hundred twenty-three thousand, two hundred sixty-four".