14135809536 has 240 divisors, whose sum is σ = 44597824128. Its totient is φ = 4290969600.

The previous prime is 14135809517. The next prime is 14135809573. The reversal of 14135809536 is 63590853141.

14135809536 is a `hidden beast` number, since 1 + 4 + 1 + 35 + 80 + 9 + 536 = 666.

It is a super-2 number, since 2×14135809536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14135809491 and 14135809500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425506 + ... + 2431326.

Almost surely, 2^14135809536 is an apocalyptic number.

14135809536 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 14135809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298912064).

14135809536 is an abundant number, since it is smaller than the sum of its proper divisors (30462014592).

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

14135809536 is a wasteful number, since it uses less digits than its factorization.

14135809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 14135809536 in words is "fourteen billion, one hundred thirty-five million, eight hundred nine thousand, five hundred thirty-six".