31368855639744 has 336 divisors, whose sum is σ = 106098530942976. Its totient is φ = 8671301683200.

The previous prime is 31368855639721. The next prime is 31368855639749. The reversal of 31368855639744 is 44793655886313.

It is a happy number.

31368855639744 is a `hidden beast` number, since 3 + 1 + 3 + 68 + 8 + 556 + 3 + 9 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (31368855639749) 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 47 ways as a sum of consecutive naturals, for example, 552561249 + ... + 552618015.

Almost surely, 2^{31368855639744} 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 31368855639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53049265471488).

31368855639744 is an abundant number, since it is smaller than the sum of its proper divisors (74729675303232).

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

31368855639744 is a wasteful number, since it uses less digits than its factorization.

31368855639744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61244 (or 61231 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 31368855639744 in words is "thirty-one trillion, three hundred sixty-eight billion, eight hundred fifty-five million, six hundred thirty-nine thousand, seven hundred forty-four".