2211914428416 has 2496 divisors, whose sum is σ = 9159241728000. Its totient is φ = 526727577600.

The previous prime is 2211914428403. The next prime is 2211914428417. The reversal of 2211914428416 is 6148244191122.

2211914428416 is a `hidden beast` number, since 2 + 2 + 1 + 191 + 4 + 42 + 8 + 416 = 666.

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 (2211914428417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71352078321 + ... + 71352078351.

It is an arithmetic number, because the mean of its divisors is an integer number (3669568000).

Almost surely, 2^{2211914428416} 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 2211914428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579620864000).

2211914428416 is an abundant number, since it is smaller than the sum of its proper divisors (6947327299584).

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

2211914428416 is an equidigital number, since it uses as much as digits as its factorization.

2211914428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 2211914428416 in words is "two trillion, two hundred eleven billion, nine hundred fourteen million, four hundred twenty-eight thousand, four hundred sixteen".