14837442048 has 720 divisors, whose sum is σ = 53487514080. Its totient is φ = 3925278720.

The previous prime is 14837442043. The next prime is 14837442083. The reversal of 14837442048 is 84024473841.

It is a junction number, because it is equal to n+sod(n) for n = 14837441994 and 14837442012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14837442041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 166712788 + ... + 166712876.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 2^14837442048 is an apocalyptic number.

14837442048 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 14837442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743757040).

14837442048 is an abundant number, since it is smaller than the sum of its proper divisors (38650072032).

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

14837442048 is a wasteful number, since it uses less digits than its factorization.

14837442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 14837442048 in words is "fourteen billion, eight hundred thirty-seven million, four hundred forty-two thousand, forty-eight".