432566635406355 has 24 divisors (see below), whose sum is σ = 749977780694688. Its totient is φ = 230642017040256.

The previous prime is 432566635406189. The next prime is 432566635406359. The reversal of 432566635406355 is 553604536665234.

It is not a de Polignac number, because 432566635406355 - 2²³ = 432566627017747 is a prime.

It is a super-2 number, since 2×432566635406355² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432566635406292 and 432566635406301.

It is not an unprimeable number, because it can be changed into a prime (432566635406359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253752887 + ... + 1254097856.

It is an arithmetic number, because the mean of its divisors is an integer number (31249074195612).

Almost surely, 2^{432566635406355} is an apocalyptic number.

432566635406355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432566635406355 is a deficient number, since it is larger than the sum of its proper divisors (317411145288333).

432566635406355 is a wasteful number, since it uses less digits than its factorization.

432566635406355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507854587 (or 2507854584 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 63.

The spelling of 432566635406355 in words is "four hundred thirty-two trillion, five hundred sixty-six billion, six hundred thirty-five million, four hundred six thousand, three hundred fifty-five".