31438126864 has 45 divisors (see below), whose sum is σ = 64313528853. Its totient is φ = 14885361216.

The previous prime is 31438126861. The next prime is 31438126871. The reversal of 31438126864 is 46862183413.

The square root of 31438126864 is 177308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10761987600 + 20676139264 = 103740^2 + 143792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31438126861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13474242 + ... + 13476574.

Almost surely, 2^31438126864 is an apocalyptic number.

31438126864 is the 177308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31438126864

31438126864 is an abundant number, since it is smaller than the sum of its proper divisors (32875401989).

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

31438126864 is an frugal number, since it uses more digits than its factorization.

31438126864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 2354 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 31438126864 in words is "thirty-one billion, four hundred thirty-eight million, one hundred twenty-six thousand, eight hundred sixty-four".