2122416414468 has 216 divisors, whose sum is σ = 6349525378560. Its totient is φ = 584964115200.

The previous prime is 2122416414457. The next prime is 2122416414473. The reversal of 2122416414468 is 8644146142212.

2122416414468 is a `hidden beast` number, since 2 + 1 + 2 + 24 + 164 + 1 + 4 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3071514003 + ... + 3071514693.

Almost surely, 2^{2122416414468} is an apocalyptic number.

2122416414468 is a gapful number since it is divisible by the number (28) 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 2122416414468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174762689280).

2122416414468 is an abundant number, since it is smaller than the sum of its proper divisors (4227108964092).

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

2122416414468 is a wasteful number, since it uses less digits than its factorization.

2122416414468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1303 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 2122416414468 in words is "two trillion, one hundred twenty-two billion, four hundred sixteen million, four hundred fourteen thousand, four hundred sixty-eight".