2228111058816 has 384 divisors, whose sum is σ = 6764573088000. Its totient is φ = 729899900928.

The previous prime is 2228111058799. The next prime is 2228111058841. The reversal of 2228111058816 is 6188501118222.

2228111058816 is a `hidden beast` number, since 22 + 28 + 1 + 1 + 10 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2228111058816² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513742600 + ... + 513746936.

It is an arithmetic number, because the mean of its divisors is an integer number (17616075750).

Almost surely, 2^{2228111058816} 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 2228111058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382286544000).

2228111058816 is an abundant number, since it is smaller than the sum of its proper divisors (4536462029184).

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

2228111058816 is an equidigital number, since it uses as much as digits as its factorization.

2228111058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 2228111058816 in words is "two trillion, two hundred twenty-eight billion, one hundred eleven million, fifty-eight thousand, eight hundred sixteen".