14414045136 has 160 divisors (see below), whose sum is σ = 40471123968. Its totient is φ = 4402944000.

The previous prime is 14414045123. The next prime is 14414045147. The reversal of 14414045136 is 63154041441.

It is a junction number, because it is equal to n+sod(n) for n = 14414045097 and 14414045106.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19192761 + ... + 19193511.

Almost surely, 2^14414045136 is an apocalyptic number.

14414045136 is a gapful number since it is divisible by the number (16) 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 14414045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235561984).

14414045136 is an abundant number, since it is smaller than the sum of its proper divisors (26057078832).

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

14414045136 is a wasteful number, since it uses less digits than its factorization.

14414045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 14414045136 its reverse (63154041441), we get a palindrome (77568086577).

The spelling of 14414045136 in words is "fourteen billion, four hundred fourteen million, forty-five thousand, one hundred thirty-six".