2314219473216 has 336 divisors, whose sum is σ = 8067224505600. Its totient is φ = 619180277760.

The previous prime is 2314219473197. The next prime is 2314219473221. The reversal of 2314219473216 is 6123749124132.

2314219473216 is a `hidden beast` number, since 2 + 3 + 1 + 421 + 9 + 4 + 7 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2314219473216² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13555426 + ... + 13725086.

Almost surely, 2^{2314219473216} 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 2314219473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033612252800).

2314219473216 is an abundant number, since it is smaller than the sum of its proper divisors (5753005032384).

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

2314219473216 is a wasteful number, since it uses less digits than its factorization.

2314219473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169902 (or 169889 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 2314219473216 in words is "two trillion, three hundred fourteen billion, two hundred nineteen million, four hundred seventy-three thousand, two hundred sixteen".