31144112037481 has 9 divisors (see below), whose sum is σ = 31433073112791. Its totient is φ = 30857783524344.

The previous prime is 31144112037457. The next prime is 31144112037541. The reversal of 31144112037481 is 18473021144113.

It is a happy number.

The square root of 31144112037481 is 5580691.

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., 21707296673881 + 9436815363600 = 4659109^2 + 3071940^2 .

It is not a de Polignac number, because 31144112037481 - 2¹⁵ = 31144112004713 is a prime.

It is a super-2 number, since 2×31144112037481² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31144112037881) 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, 608269720 + ... + 608320918.

It is an arithmetic number, because the mean of its divisors is an integer number (3492563679199).

Almost surely, 2^{31144112037481} is an apocalyptic number.

31144112037481 is the 5580691-st square number.

31144112037481 is the 2790346-th centered octagonal number.

It is an amenable number.

31144112037481 is a deficient number, since it is larger than the sum of its proper divisors (288961075310).

31144112037481 is an frugal number, since it uses more digits than its factorization.

31144112037481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102616 (or 51308 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 31144112037481 in words is "thirty-one trillion, one hundred forty-four billion, one hundred twelve million, thirty-seven thousand, four hundred eighty-one".