31271368197888 has 1512 divisors, whose sum is σ = 122350370089248. Its totient is φ = 7888121708544.

The previous prime is 31271368197887. The next prime is 31271368197899. The reversal of 31271368197888 is 88879186317213.

It is a happy number.

31271368197888 is a `hidden beast` number, since 3 + 1 + 2 + 71 + 368 + 197 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31271368197887) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2734222506 + ... + 2734233942.

Almost surely, 2^{31271368197888} 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 31271368197888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175185044624).

31271368197888 is an abundant number, since it is smaller than the sum of its proper divisors (91079001891360).

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

31271368197888 is a wasteful number, since it uses less digits than its factorization.

31271368197888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11485 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 31271368197888 in words is "thirty-one trillion, two hundred seventy-one billion, three hundred sixty-eight million, one hundred ninety-seven thousand, eight hundred eighty-eight".