431847748134 has 96 divisors (see below), whose sum is σ = 1060934807520. Its totient is φ = 130106180160.

The previous prime is 431847748133. The next prime is 431847748139.

It is a happy number.

431847748134 is a `hidden beast` number, since 4 + 31 + 8 + 477 + 4 + 8 + 134 = 666.

431847748134 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431847748133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939364 + ... + 1321400.

It is an arithmetic number, because the mean of its divisors is an integer number (11051404245).

Almost surely, 2^431847748134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431847748134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530467403760).

431847748134 is an abundant number, since it is smaller than the sum of its proper divisors (629087059386).

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

431847748134 is a wasteful number, since it uses less digits than its factorization.

431847748134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382243 (or 382226 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 431847748134 in words is "four hundred thirty-one billion, eight hundred forty-seven million, seven hundred forty-eight thousand, one hundred thirty-four".