31122414623616 has 128 divisors (see below), whose sum is σ = 82853376000000. Its totient is φ = 10350999576576.

The previous prime is 31122414623551. The next prime is 31122414623617. The reversal of 31122414623616 is 61632641422113.

31122414623616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 (31122414623617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980866440 + ... + 980898168.

It is an arithmetic number, because the mean of its divisors is an integer number (647292000000).

Almost surely, 2^{31122414623616} 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 31122414623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41426688000000).

31122414623616 is an abundant number, since it is smaller than the sum of its proper divisors (51730961376384).

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

31122414623616 is a wasteful number, since it uses less digits than its factorization.

31122414623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37364 (or 37352 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 31122414623616 in words is "thirty-one trillion, one hundred twenty-two billion, four hundred fourteen million, six hundred twenty-three thousand, six hundred sixteen".