31661222022144 has 1760 divisors, whose sum is σ = 122741027329536. Its totient is φ = 7971754475520.

The previous prime is 31661222022019. The next prime is 31661222022149. The reversal of 31661222022144 is 44122022216613.

31661222022144 is a `hidden beast` number, since 3 + 1 + 6 + 612 + 2 + 2 + 0 + 22 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31661222022099 and 31661222022108.

It is not an unprimeable number, because it can be changed into a prime (31661222022149) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4637644459 + ... + 4637651285.

Almost surely, 2^{31661222022144} is an apocalyptic number.

31661222022144 is a gapful number since it is divisible by the number (34) 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 31661222022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61370513664768).

31661222022144 is an abundant number, since it is smaller than the sum of its proper divisors (91079805307392).

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

31661222022144 is a wasteful number, since it uses less digits than its factorization.

31661222022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 31661222022144 its reverse (44122022216613), we get a palindrome (75783244238757).

The spelling of 31661222022144 in words is "thirty-one trillion, six hundred sixty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred forty-four".