431430522345 has 40 divisors (see below), whose sum is σ = 774117174600. Its totient is φ = 229876704000.

The previous prime is 431430522317. The next prime is 431430522359. The reversal of 431430522345 is 543225034134.

431430522345 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 305 + 2 + 2 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255715296489 + 175715225856 = 505683^2 + 419184^2 .

It is not a de Polignac number, because 431430522345 - 2²⁴ = 431413745129 is a prime.

It is a super-2 number, since 2×431430522345² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82906 + ... + 932595.

It is an arithmetic number, because the mean of its divisors is an integer number (19352929365).

Almost surely, 2^431430522345 is an apocalyptic number.

431430522345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431430522345 is a deficient number, since it is larger than the sum of its proper divisors (342686652255).

431430522345 is a wasteful number, since it uses less digits than its factorization.

431430522345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016567 (or 1016558 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 431430522345 its reverse (543225034134), we get a palindrome (974655556479).

The spelling of 431430522345 in words is "four hundred thirty-one billion, four hundred thirty million, five hundred twenty-two thousand, three hundred forty-five".