2172687313368 has 384 divisors, whose sum is σ = 6630253056000. Its totient is φ = 584891136000.

The previous prime is 2172687313351. The next prime is 2172687313369. The reversal of 2172687313368 is 8633137862712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172687313369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629945308 + ... + 629948756.

It is an arithmetic number, because the mean of its divisors is an integer number (17266284000).

Almost surely, 2^{2172687313368} 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 2172687313368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315126528000).

2172687313368 is an abundant number, since it is smaller than the sum of its proper divisors (4457565742632).

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

2172687313368 is a wasteful number, since it uses less digits than its factorization.

2172687313368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3700 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 2172687313368 in words is "two trillion, one hundred seventy-two billion, six hundred eighty-seven million, three hundred thirteen thousand, three hundred sixty-eight".