31224138680 has 768 divisors, whose sum is σ = 98811187200. Its totient is φ = 8778792960.

The previous prime is 31224138653. The next prime is 31224138683. The reversal of 31224138680 is 8683142213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31224138683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726142739 + ... + 726142781.

It is an arithmetic number, because the mean of its divisors is an integer number (128660400).

Almost surely, 2^31224138680 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 31224138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49405593600).

31224138680 is an abundant number, since it is smaller than the sum of its proper divisors (67587048520).

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

31224138680 is a wasteful number, since it uses less digits than its factorization.

31224138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 31224138680 in words is "thirty-one billion, two hundred twenty-four million, one hundred thirty-eight thousand, six hundred eighty".