431144216323625 has 384 divisors, whose sum is σ = 696807509299200. Its totient is φ = 264330539827200.

The previous prime is 431144216323567. The next prime is 431144216323633. The reversal of 431144216323625 is 526323612441134.

It is not a de Polignac number, because 431144216323625 - 2⁸ = 431144216323369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 431144216323625.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81301942724 + ... + 81301948026.

It is an arithmetic number, because the mean of its divisors is an integer number (1814602888800).

Almost surely, 2^{431144216323625} is an apocalyptic number.

It is an amenable number.

431144216323625 is a deficient number, since it is larger than the sum of its proper divisors (265663292975575).

431144216323625 is a wasteful number, since it uses less digits than its factorization.

431144216323625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5865 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 47.

Adding to 431144216323625 its reverse (526323612441134), we get a palindrome (957467828764759).

The spelling of 431144216323625 in words is "four hundred thirty-one trillion, one hundred forty-four billion, two hundred sixteen million, three hundred twenty-three thousand, six hundred twenty-five".