14405179136 has 72 divisors (see below), whose sum is σ = 29125356624. Its totient is φ = 7110041600.

The previous prime is 14405179123. The next prime is 14405179199. The reversal of 14405179136 is 63197150441.

It is a junction number, because it is equal to n+sod(n) for n = 14405179093 and 14405179102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12074156 + ... + 12075348.

It is an arithmetic number, because the mean of its divisors is an integer number (404518842).

Almost surely, 2^14405179136 is an apocalyptic number.

14405179136 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 14405179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562678312).

14405179136 is an abundant number, since it is smaller than the sum of its proper divisors (14720177488).

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

14405179136 is a wasteful number, since it uses less digits than its factorization.

14405179136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 14405179136 in words is "fourteen billion, four hundred five million, one hundred seventy-nine thousand, one hundred thirty-six".