431487247968 has 384 divisors, whose sum is σ = 1484130816000. Its totient is φ = 119407509504.

The previous prime is 431487247943. The next prime is 431487247969. The reversal of 431487247968 is 869742784134.

431487247968 is a `hidden beast` number, since 4 + 3 + 1 + 487 + 24 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431487247969) 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, 27565008 + ... + 27580656.

It is an arithmetic number, because the mean of its divisors is an integer number (3864924000).

Almost surely, 2^431487247968 is an apocalyptic number.

431487247968 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 431487247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742065408000).

431487247968 is an abundant number, since it is smaller than the sum of its proper divisors (1052643568032).

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

431487247968 is a wasteful number, since it uses less digits than its factorization.

431487247968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15819 (or 15805 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 431487247968 in words is "four hundred thirty-one billion, four hundred eighty-seven million, two hundred forty-seven thousand, nine hundred sixty-eight".