2223315502416 has 320 divisors, whose sum is σ = 7007476492800. Its totient is φ = 680490823680.

The previous prime is 2223315502367. The next prime is 2223315502417. The reversal of 2223315502416 is 6142055133222.

2223315502416 is a `hidden beast` number, since 2 + 2 + 233 + 1 + 5 + 5 + 0 + 2 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223315502417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24343845 + ... + 24435003.

It is an arithmetic number, because the mean of its divisors is an integer number (21898364040).

Almost surely, 2^{2223315502416} 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 2223315502416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503738246400).

2223315502416 is an abundant number, since it is smaller than the sum of its proper divisors (4784160990384).

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

2223315502416 is an equidigital number, since it uses as much as digits as its factorization.

2223315502416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91246 (or 91222 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2223315502416 in words is "two trillion, two hundred twenty-three billion, three hundred fifteen million, five hundred two thousand, four hundred sixteen".