14314332332100 has 144 divisors (see below), whose sum is σ = 41682144672000. Its totient is φ = 3792709509120.

The previous prime is 14314332332071. The next prime is 14314332332137. The reversal of 14314332332100 is 123323341341.

It is a super-2 number, since 2×14314332332100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31970982 + ... + 32415618.

It is an arithmetic number, because the mean of its divisors is an integer number (289459338000).

Almost surely, 2^{14314332332100} is an apocalyptic number.

14314332332100 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 14314332332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20841072336000).

14314332332100 is an abundant number, since it is smaller than the sum of its proper divisors (27367812339900).

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

14314332332100 is a wasteful number, since it uses less digits than its factorization.

14314332332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445342 (or 445335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 14314332332100 its reverse (123323341341), we get a palindrome (14437655673441).

The spelling of 14314332332100 in words is "fourteen trillion, three hundred fourteen billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred".