431155162641644 has 192 divisors, whose sum is σ = 904957232256000. Its totient is φ = 175846538649600.

The previous prime is 431155162641617. The next prime is 431155162641647. The reversal of 431155162641644 is 446146261551134.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (431155162641647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29839785332 + ... + 29839799780.

It is an arithmetic number, because the mean of its divisors is an integer number (4713318918000).

Almost surely, 2^{431155162641644} 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 431155162641644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452478616128000).

431155162641644 is an abundant number, since it is smaller than the sum of its proper divisors (473802069614356).

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

431155162641644 is a wasteful number, since it uses less digits than its factorization.

431155162641644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16504 (or 16502 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The spelling of 431155162641644 in words is "four hundred thirty-one trillion, one hundred fifty-five billion, one hundred sixty-two million, six hundred forty-one thousand, six hundred forty-four".