14312021441100 has 216 divisors, whose sum is σ = 42737234641920. Its totient is φ = 3697826791680.

The previous prime is 14312021441071. The next prime is 14312021441177. The reversal of 14312021441100 is 114412021341.

It is a happy number.

It is a super-2 number, since 2×14312021441100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 98084397 + ... + 98230203.

Almost surely, 2^{14312021441100} is an apocalyptic number.

14312021441100 is a gapful number since it is divisible by the number (10) 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 14312021441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368617320960).

14312021441100 is an abundant number, since it is smaller than the sum of its proper divisors (28425213200820).

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

14312021441100 is a wasteful number, since it uses less digits than its factorization.

14312021441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146137 (or 146093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14312021441100 its reverse (114412021341), we get a palindrome (14426433462441).

The spelling of 14312021441100 in words is "fourteen trillion, three hundred twelve billion, twenty-one million, four hundred forty-one thousand, one hundred".