431125131656544 has 384 divisors, whose sum is σ = 1329663912192000. Its totient is φ = 121153738825728.

The previous prime is 431125131656473. The next prime is 431125131656551. The reversal of 431125131656544 is 445656131521134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93376377 + ... + 97884615.

It is an arithmetic number, because the mean of its divisors is an integer number (3462666438000).

Almost surely, 2^{431125131656544} 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 431125131656544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664831956096000).

431125131656544 is an abundant number, since it is smaller than the sum of its proper divisors (898538780535456).

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

431125131656544 is a wasteful number, since it uses less digits than its factorization.

431125131656544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508430 (or 4508422 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 431125131656544 in words is "four hundred thirty-one trillion, one hundred twenty-five billion, one hundred thirty-one million, six hundred fifty-six thousand, five hundred forty-four".