431145423203544 has 192 divisors, whose sum is σ = 1339531644672000. Its totient is φ = 122719788322560.

The previous prime is 431145423203501. The next prime is 431145423203609. The reversal of 431145423203544 is 445302324541134.

It is a happy number.

431145423203544 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 4 + 542 + 32 + 0 + 35 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 431145423203544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830615149 + ... + 2830767459.

It is an arithmetic number, because the mean of its divisors is an integer number (6976727316000).

Almost surely, 2^{431145423203544} 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 431145423203544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669765822336000).

431145423203544 is an abundant number, since it is smaller than the sum of its proper divisors (908386221468456).

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

431145423203544 is a wasteful number, since it uses less digits than its factorization.

431145423203544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173478 (or 173471 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 431145423203544 its reverse (445302324541134), we get a palindrome (876447747744678).

The spelling of 431145423203544 in words is "four hundred thirty-one trillion, one hundred forty-five billion, four hundred twenty-three million, two hundred three thousand, five hundred forty-four".