14349138048 has 576 divisors, whose sum is σ = 53602754400. Its totient is φ = 3650863104.

The previous prime is 14349137987. The next prime is 14349138077. The reversal of 14349138048 is 84083194341.

14349138048 is a `hidden beast` number, since 1 + 43 + 491 + 3 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14349138048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14349137994 and 14349138012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18232311 + ... + 18233097.

Almost surely, 2^14349138048 is an apocalyptic number.

14349138048 is a gapful number since it is divisible by the number (18) 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 14349138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801377200).

14349138048 is an abundant number, since it is smaller than the sum of its proper divisors (39253616352).

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

14349138048 is a wasteful number, since it uses less digits than its factorization.

14349138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14349138048 in words is "fourteen billion, three hundred forty-nine million, one hundred thirty-eight thousand, forty-eight".