931387661568 has 1728 divisors, whose sum is σ = 3676986593280. Its totient is φ = 219832123392.

The previous prime is 931387661563. The next prime is 931387661569. The reversal of 931387661568 is 865166783139.

931387661568 is a `hidden beast` number, since 9 + 3 + 1 + 3 + 8 + 7 + 6 + 61 + 568 = 666.

It is a super-2 number, since 2×931387661568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (931387661563) 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 191 ways as a sum of consecutive naturals, for example, 9042598605 + ... + 9042598707.

It is an arithmetic number, because the mean of its divisors is an integer number (2127885760).

Almost surely, 2^931387661568 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 931387661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838493296640).

931387661568 is an abundant number, since it is smaller than the sum of its proper divisors (2745598931712).

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

931387661568 is a wasteful number, since it uses less digits than its factorization.

931387661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 931387661568 in words is "nine hundred thirty-one billion, three hundred eighty-seven million, six hundred sixty-one thousand, five hundred sixty-eight".