2112378113664 has 896 divisors, whose sum is σ = 8174867030400. Its totient is φ = 527748784128.

The previous prime is 2112378113633. The next prime is 2112378113669. The reversal of 2112378113664 is 4663118732112.

2112378113664 is a `hidden beast` number, since 211 + 2 + 3 + 78 + 1 + 1 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2112378113669) 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 111 ways as a sum of consecutive naturals, for example, 161329902 + ... + 161342994.

It is an arithmetic number, because the mean of its divisors is an integer number (9123735525).

Almost surely, 2^{2112378113664} is an apocalyptic number.

2112378113664 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 2112378113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087433515200).

2112378113664 is an abundant number, since it is smaller than the sum of its proper divisors (6062488916736).

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

2112378113664 is a wasteful number, since it uses less digits than its factorization.

2112378113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13137 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 2112378113664 in words is "two trillion, one hundred twelve billion, three hundred seventy-eight million, one hundred thirteen thousand, six hundred sixty-four".