14414105632 has 48 divisors (see below), whose sum is σ = 29088938592. Its totient is φ = 7026670080.

The previous prime is 14414105611. The next prime is 14414105633. The reversal of 14414105632 is 23650141441.

It is a junction number, because it is equal to n+sod(n) for n = 14414105594 and 14414105603.

It is not an unprimeable number, because it can be changed into a prime (14414105633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2887843 + ... + 2892829.

It is an arithmetic number, because the mean of its divisors is an integer number (606019554).

Almost surely, 2^14414105632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544469296).

14414105632 is an abundant number, since it is smaller than the sum of its proper divisors (14674832960).

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

14414105632 is a wasteful number, since it uses less digits than its factorization.

14414105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 14414105632 in words is "fourteen billion, four hundred fourteen million, one hundred five thousand, six hundred thirty-two".