14622427452816 has 540 divisors, whose sum is σ = 44303461020156. Its totient is φ = 4498678517760.

The previous prime is 14622427452811. The next prime is 14622427452823. The reversal of 14622427452816 is 61825472422641.

14622427452816 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 2 + 42 + 74 + 528 + 1 + 6 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 9659067273216 + 4963360179600 = 3107904^2 + 2227860^2 .

It is a super-2 number, since 2×14622427452816² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14622427452811) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 16673234970 + ... + 16673235846.

Almost surely, 2^{14622427452816} is an apocalyptic number.

14622427452816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14622427452816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151730510078).

14622427452816 is an abundant number, since it is smaller than the sum of its proper divisors (29681033567340).

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

14622427452816 is a wasteful number, since it uses less digits than its factorization.

14622427452816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1009 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 14622427452816 in words is "fourteen trillion, six hundred twenty-two billion, four hundred twenty-seven million, four hundred fifty-two thousand, eight hundred sixteen".