31994865144 has 288 divisors, whose sum is σ = 98744555520. Its totient is φ = 9280656000.

The previous prime is 31994865137. The next prime is 31994865169. The reversal of 31994865144 is 44156849913.

31994865144 is a `hidden beast` number, since 3 + 19 + 9 + 486 + 5 + 144 = 666.

It is a super-2 number, since 2×31994865144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96661059 + ... + 96661389.

It is an arithmetic number, because the mean of its divisors is an integer number (342863040).

Almost surely, 2^31994865144 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 31994865144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49372277760).

31994865144 is an abundant number, since it is smaller than the sum of its proper divisors (66749690376).

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

31994865144 is a wasteful number, since it uses less digits than its factorization.

31994865144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 505 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 31994865144 in words is "thirty-one billion, nine hundred ninety-four million, eight hundred sixty-five thousand, one hundred forty-four".