14227958439552 has 512 divisors, whose sum is σ = 44964870854400. Its totient is φ = 3929366200320.

The previous prime is 14227958439551. The next prime is 14227958439553. The reversal of 14227958439552 is 25593485972241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14227958439551) and next prime (14227958439553).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (14227958439551) 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, 4168752598 + ... + 4168756010.

Almost surely, 2^{14227958439552} is an apocalyptic number.

14227958439552 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 14227958439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22482435427200).

14227958439552 is an abundant number, since it is smaller than the sum of its proper divisors (30736912414848).

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

14227958439552 is a wasteful number, since it uses less digits than its factorization.

14227958439552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4384 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 66.

The spelling of 14227958439552 in words is "fourteen trillion, two hundred twenty-seven billion, nine hundred fifty-eight million, four hundred thirty-nine thousand, five hundred fifty-two".