432633747001 has 27 divisors (see below), whose sum is σ = 461256237351. Its totient is φ = 405762727104.

The previous prime is 432633746981. The next prime is 432633747043. The reversal of 432633747001 is 100747336234.

The square root of 432633747001 is 657749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 319562959401 + 113070787600 = 565299^2 + 336260^2 .

It is not a de Polignac number, because 432633747001 - 2¹³ = 432633738809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432633747901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 705764371 + ... + 705764983.

Almost surely, 2^432633747001 is an apocalyptic number.

432633747001 is the 657749-th square number.

432633747001 is the 328875-th centered octagonal number.

It is an amenable number.

432633747001 is a deficient number, since it is larger than the sum of its proper divisors (28622490350).

432633747001 is an frugal number, since it uses more digits than its factorization.

432633747001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 432633747001 in words is "four hundred thirty-two billion, six hundred thirty-three million, seven hundred forty-seven thousand, one".