431441059648 has 112 divisors (see below), whose sum is σ = 914546304000. Its totient is φ = 201353983488.

The previous prime is 431441059619. The next prime is 431441059657. The reversal of 431441059648 is 846950144134.

It is a super-2 number, since 2×431441059648² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38246073 + ... + 38257351.

It is an arithmetic number, because the mean of its divisors is an integer number (8165592000).

Almost surely, 2^431441059648 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 431441059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457273152000).

431441059648 is an abundant number, since it is smaller than the sum of its proper divisors (483105244352).

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

431441059648 is a wasteful number, since it uses less digits than its factorization.

431441059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11772 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 431441059648 in words is "four hundred thirty-one billion, four hundred forty-one million, fifty-nine thousand, six hundred forty-eight".