31610091018272 has 90 divisors (see below), whose sum is σ = 67429681355169. Its totient is φ = 14586792030720.

The previous prime is 31610091018251. The next prime is 31610091018277. The reversal of 31610091018272 is 27281019001613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 5166183509776 + 26443907508496 = 2272924^2 + 5142364^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3975556.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31610091018277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5374948772 + ... + 5374954652.

Almost surely, 2^{31610091018272} is an apocalyptic number.

31610091018272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31610091018272

31610091018272 is an abundant number, since it is smaller than the sum of its proper divisors (35819590336897).

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

31610091018272 is an frugal number, since it uses more digits than its factorization.

31610091018272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 31610091018272 in words is "thirty-one trillion, six hundred ten billion, ninety-one million, eighteen thousand, two hundred seventy-two".