2112626214432 has 144 divisors (see below), whose sum is σ = 6276482273880. Its totient is φ = 673193472000.

The previous prime is 2112626214401. The next prime is 2112626214443. The reversal of 2112626214432 is 2344126262112.

2112626214432 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 2 + 6 + 214 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2072114186256 + 40512028176 = 1439484^2 + 201276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408669 + ... + 2095772.

Almost surely, 2^{2112626214432} 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 2112626214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138241136940).

2112626214432 is an abundant number, since it is smaller than the sum of its proper divisors (4163856059448).

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

2112626214432 is a wasteful number, since it uses less digits than its factorization.

2112626214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504587 (or 2504576 counting only the distinct ones).

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

The spelling of 2112626214432 in words is "two trillion, one hundred twelve billion, six hundred twenty-six million, two hundred fourteen thousand, four hundred thirty-two".