31361184768 has 132 divisors (see below), whose sum is σ = 88223079840. Its totient is φ = 9903181824.

The previous prime is 31361184761. The next prime is 31361184769. The reversal of 31361184768 is 86748116313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31361184761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1094853 + ... + 1123131.

Almost surely, 2^31361184768 is an apocalyptic number.

31361184768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31361184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44111539920).

31361184768 is an abundant number, since it is smaller than the sum of its proper divisors (56861895072).

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

31361184768 is a wasteful number, since it uses less digits than its factorization.

31361184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28340 (or 28303 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 31361184768 in words is "thirty-one billion, three hundred sixty-one million, one hundred eighty-four thousand, seven hundred sixty-eight".