31838562349489 has 81 divisors (see below), whose sum is σ = 39217147533291. Its totient is φ = 25770732002400.

The previous prime is 31838562349457. The next prime is 31838562349621. The reversal of 31838562349489 is 98494326583813.

The square root of 31838562349489 is 5642567.

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., 30590113673889 + 1248448675600 = 5530833^2 + 1117340^2 .

It is not a de Polignac number, because 31838562349489 - 2⁵ = 31838562349457 is a prime.

It is a super-3 number, since 3×31838562349489³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (31838562341489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 91753781814 + ... + 91753782160.

Almost surely, 2^{31838562349489} is an apocalyptic number.

31838562349489 is the 5642567-th square number.

31838562349489 is the 2821284-th centered octagonal number.

It is an amenable number.

31838562349489 is a deficient number, since it is larger than the sum of its proper divisors (7378585183802).

31838562349489 is an frugal number, since it uses more digits than its factorization.

31838562349489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 478 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 73.

The spelling of 31838562349489 in words is "thirty-one trillion, eight hundred thirty-eight billion, five hundred sixty-two million, three hundred forty-nine thousand, four hundred eighty-nine".