31368438144 has 96 divisors (see below), whose sum is σ = 90304180200. Its totient is φ = 10451718144.

The previous prime is 31368438121. The next prime is 31368438173. The reversal of 31368438144 is 44183486313.

31368438144 is a `hidden beast` number, since 3 + 13 + 68 + 438 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31368438144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3812467 + ... + 3820685.

Almost surely, 2^31368438144 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 31368438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45152090100).

31368438144 is an abundant number, since it is smaller than the sum of its proper divisors (58935742056).

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

31368438144 is a wasteful number, since it uses less digits than its factorization.

31368438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11537 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 31368438144 in words is "thirty-one billion, three hundred sixty-eight million, four hundred thirty-eight thousand, one hundred forty-four".