431374724064 has 48 divisors (see below), whose sum is σ = 1258176281040. Its totient is φ = 143791574400.

The previous prime is 431374724057. The next prime is 431374724083. The reversal of 431374724064 is 460427473134.

431374724064 is a `hidden beast` number, since 4 + 3 + 137 + 472 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×431374724064² (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 7 ways as a sum of consecutive naturals, for example, 249637287 + ... + 249639014.

It is an arithmetic number, because the mean of its divisors is an integer number (26212005855).

Almost surely, 2^431374724064 is an apocalyptic number.

It is an amenable number.

431374724064 is an abundant number, since it is smaller than the sum of its proper divisors (826801556976).

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

431374724064 is a wasteful number, since it uses less digits than its factorization.

431374724064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499276320 (or 499276306 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 431374724064 in words is "four hundred thirty-one billion, three hundred seventy-four million, seven hundred twenty-four thousand, sixty-four".