31829414464 has 63 divisors (see below), whose sum is σ = 65499754827. Its totient is φ = 15345942528.

The previous prime is 31829414453. The next prime is 31829414471. The reversal of 31829414464 is 46441492813.

The square root of 31829414464 is 178408.

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

It can be written as a sum of positive squares in 4 ways, for example, as 230796864 + 31598617600 = 15192^2 + 177760^2 .

It is a super-2 number, since 2×31829414464² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41390272 + ... + 41391040.

Almost surely, 2^31829414464 is an apocalyptic number.

31829414464 is the 178408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31829414464

31829414464 is an abundant number, since it is smaller than the sum of its proper divisors (33670340363).

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

31829414464 is an frugal number, since it uses more digits than its factorization.

31829414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 800 counting only the distinct ones).

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

The spelling of 31829414464 in words is "thirty-one billion, eight hundred twenty-nine million, four hundred fourteen thousand, four hundred sixty-four".