2166414462432 has 144 divisors (see below), whose sum is σ = 6723188991792. Its totient is φ = 656256706560.

The previous prime is 2166414462343. The next prime is 2166414462557. The reversal of 2166414462432 is 2342644146612.

2166414462432 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 4 + 14 + 4 + 624 + 3 + 2 = 666.

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

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

It is a congruent number.

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, 8931298 + ... + 9170654.

It is an arithmetic number, because the mean of its divisors is an integer number (46688812443).

Almost surely, 2^{2166414462432} is an apocalyptic number.

2166414462432 is a gapful number since it is divisible by the number (22) 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 2166414462432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361594495896).

2166414462432 is an abundant number, since it is smaller than the sum of its proper divisors (4556774529360).

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

2166414462432 is a wasteful number, since it uses less digits than its factorization.

2166414462432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242241 (or 242230 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 2166414462432 in words is "two trillion, one hundred sixty-six billion, four hundred fourteen million, four hundred sixty-two thousand, four hundred thirty-two".