31068070642944 has 288 divisors, whose sum is σ = 101507579792640. Its totient is φ = 9323068981248.

The previous prime is 31068070642897. The next prime is 31068070642949. The reversal of 31068070642944 is 44924607086013.

31068070642944 is a `hidden beast` number, since 3 + 106 + 8 + 0 + 70 + 6 + 429 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31068070642949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3045237 + ... + 8450420.

It is an arithmetic number, because the mean of its divisors is an integer number (352456874280).

Almost surely, 2^{31068070642944} is an apocalyptic number.

31068070642944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31068070642944 is an abundant number, since it is smaller than the sum of its proper divisors (70439509149696).

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

31068070642944 is a wasteful number, since it uses less digits than its factorization.

31068070642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495722 (or 11495702 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 31068070642944 in words is "thirty-one trillion, sixty-eight billion, seventy million, six hundred forty-two thousand, nine hundred forty-four".