2112126631664 has 60 divisors (see below), whose sum is σ = 4924517679000. Its totient is φ = 873983424384.

The previous prime is 2112126631661. The next prime is 2112126631817. The reversal of 2112126631664 is 4661366212112.

It is a super-2 number, since 2×2112126631664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112126631661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46426214 + ... + 46471685.

It is an arithmetic number, because the mean of its divisors is an integer number (82075294650).

Almost surely, 2^{2112126631664} is an apocalyptic number.

It is an amenable number.

2112126631664 is an abundant number, since it is smaller than the sum of its proper divisors (2812391047336).

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

2112126631664 is a wasteful number, since it uses less digits than its factorization.

2112126631664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92897950 (or 92897937 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The spelling of 2112126631664 in words is "two trillion, one hundred twelve billion, one hundred twenty-six million, six hundred thirty-one thousand, six hundred sixty-four".