31379642449 has 9 divisors (see below), whose sum is σ = 32070008667. Its totient is φ = 30703841904.

The previous prime is 31379642447. The next prime is 31379642501. The reversal of 31379642449 is 94424697313.

The square root of 31379642449 is 177143.

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., 26003820049 + 5375822400 = 161257^2 + 73320^2 .

It is not a de Polignac number, because 31379642449 - 2¹ = 31379642447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31379642396 and 31379642405.

It is not an unprimeable number, because it can be changed into a prime (31379642443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8323837 + ... + 8327605.

Almost surely, 2^31379642449 is an apocalyptic number.

31379642449 is the 177143-rd square number.

31379642449 is the 88572-nd centered octagonal number.

It is an amenable number.

31379642449 is a deficient number, since it is larger than the sum of its proper divisors (690366218).

31379642449 is an frugal number, since it uses more digits than its factorization.

31379642449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 3816 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

It can be divided in two parts, 3137964 and 2449, that added together give a palindrome (3140413).

The spelling of 31379642449 in words is "thirty-one billion, three hundred seventy-nine million, six hundred forty-two thousand, four hundred forty-nine".