2214480315168 has 216 divisors, whose sum is σ = 7052575777884. Its totient is φ = 658392683520.

The previous prime is 2214480315161. The next prime is 2214480315227. The reversal of 2214480315168 is 8615130844122.

2214480315168 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 480 + 3 + 1 + 5 + 168 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2112522716304 + 101957598864 = 1453452^2 + 319308^2 .

It is a super-2 number, since 2×2214480315168² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2214480315161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1247446 + ... + 2446442.

Almost surely, 2^{2214480315168} 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 2214480315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526287888942).

2214480315168 is an abundant number, since it is smaller than the sum of its proper divisors (4838095462716).

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

2214480315168 is a wasteful number, since it uses less digits than its factorization.

2214480315168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199088 (or 1199066 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2214480315168 in words is "two trillion, two hundred fourteen billion, four hundred eighty million, three hundred fifteen thousand, one hundred sixty-eight".