14129055144 has 24 divisors (see below), whose sum is σ = 38266191210. Its totient is φ = 4709685024.

The previous prime is 14129055119. The next prime is 14129055169. The reversal of 14129055144 is 44155092141.

14129055144 is a `hidden beast` number, since 1 + 4 + 12 + 90 + 551 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14129055119) and next prime (14129055169).

It can be written as a sum of positive squares in only one way, i.e., 10253992644 + 3875062500 = 101262^2 + 62250^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14129055099 and 14129055108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98118367 + ... + 98118510.

Almost surely, 2^14129055144 is an apocalyptic number.

It is an amenable number.

14129055144 is an abundant number, since it is smaller than the sum of its proper divisors (24137136066).

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

14129055144 is a wasteful number, since it uses less digits than its factorization.

14129055144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196236889 (or 196236882 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 14129055144 in words is "fourteen billion, one hundred twenty-nine million, fifty-five thousand, one hundred forty-four".