2161120129344 has 560 divisors, whose sum is σ = 7068721651200. Its totient is φ = 647421465600.

The previous prime is 2161120129327. The next prime is 2161120129349. The reversal of 2161120129344 is 4439210211612.

2161120129344 is a `hidden beast` number, since 2 + 1 + 611 + 2 + 0 + 1 + 2 + 9 + 34 + 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 = 2161120129299 and 2161120129308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161120129349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3279392887 + ... + 3279393545.

Almost surely, 2^{2161120129344} is an apocalyptic number.

2161120129344 is a gapful number since it is divisible by the number (24) 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 2161120129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534360825600).

2161120129344 is an abundant number, since it is smaller than the sum of its proper divisors (4907601521856).

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

2161120129344 is a wasteful number, since it uses less digits than its factorization.

2161120129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2161120129344 in words is "two trillion, one hundred sixty-one billion, one hundred twenty million, one hundred twenty-nine thousand, three hundred forty-four".