14661242176 has 336 divisors, whose sum is σ = 37360189440. Its totient is φ = 5673507840.

The previous prime is 14661242161. The next prime is 14661242177. The reversal of 14661242176 is 67124216641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14661242177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176641431 + ... + 176641513.

It is an arithmetic number, because the mean of its divisors is an integer number (111191040).

Almost surely, 2^14661242176 is an apocalyptic number.

14661242176 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 14661242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18680094720).

14661242176 is an abundant number, since it is smaller than the sum of its proper divisors (22698947264).

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

14661242176 is a wasteful number, since it uses less digits than its factorization.

14661242176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 14661242176 in words is "fourteen billion, six hundred sixty-one million, two hundred forty-two thousand, one hundred seventy-six".