31115194306688 has 56 divisors (see below), whose sum is σ = 62782010147055. Its totient is φ = 15360665543808.

The previous prime is 31115194306681. The next prime is 31115194306697. The reversal of 31115194306688 is 88660349151113.

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 only one way, i.e., 15557597153344 + 15557597153344 = 3944312^2 + 3944312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3944312.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31115194306681) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 393863219033 + ... + 393863219111.

Almost surely, 2^{31115194306688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31115194306688

31115194306688 is an abundant number, since it is smaller than the sum of its proper divisors (31666815840367).

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

31115194306688 is an frugal number, since it uses more digits than its factorization.

31115194306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 31115194306688 in words is "thirty-one trillion, one hundred fifteen billion, one hundred ninety-four million, three hundred six thousand, six hundred eighty-eight".