431955963648 has 576 divisors, whose sum is σ = 1439479641600. Its totient is φ = 126618992640.

The previous prime is 431955963629. The next prime is 431955963707. The reversal of 431955963648 is 846369559134.

431955963648 is a `hidden beast` number, since 4 + 3 + 1 + 9 + 5 + 596 + 36 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 655471543 + ... + 655472201.

It is an arithmetic number, because the mean of its divisors is an integer number (2499096600).

Almost surely, 2^431955963648 is an apocalyptic number.

431955963648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431955963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719739820800).

431955963648 is an abundant number, since it is smaller than the sum of its proper divisors (1007523677952).

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

431955963648 is a wasteful number, since it uses less digits than its factorization.

431955963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 945 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 431955963648 in words is "four hundred thirty-one billion, nine hundred fifty-five million, nine hundred sixty-three thousand, six hundred forty-eight".