14265422220192 has 576 divisors, whose sum is σ = 46341382542336. Its totient is φ = 3801702727680.

The previous prime is 14265422220151. The next prime is 14265422220193. The reversal of 14265422220192 is 29102222456241.

It is a super-2 number, since 2×14265422220192² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14265422220193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054893943 + ... + 1054907465.

It is an arithmetic number, because the mean of its divisors is an integer number (80453789136).

Almost surely, 2^{14265422220192} is an apocalyptic number.

14265422220192 is a gapful number since it is divisible by the number (12) 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 14265422220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170691271168).

14265422220192 is an abundant number, since it is smaller than the sum of its proper divisors (32075960322144).

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

14265422220192 is a wasteful number, since it uses less digits than its factorization.

14265422220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14265422220192 in words is "fourteen trillion, two hundred sixty-five billion, four hundred twenty-two million, two hundred twenty thousand, one hundred ninety-two".