14177342816 has 96 divisors (see below), whose sum is σ = 34916390208. Its totient is φ = 5516605440.

The previous prime is 14177342813. The next prime is 14177342819. The reversal of 14177342816 is 61824377141.

It is an interprime number because it is at equal distance from previous prime (14177342813) and next prime (14177342819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14177342813) 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 15 ways as a sum of consecutive naturals, for example, 137726 + ... + 217538.

It is an arithmetic number, because the mean of its divisors is an integer number (363712398).

Almost surely, 2^14177342816 is an apocalyptic number.

14177342816 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 14177342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458195104).

14177342816 is an abundant number, since it is smaller than the sum of its proper divisors (20739047392).

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

14177342816 is a wasteful number, since it uses less digits than its factorization.

14177342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79904 (or 79896 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The spelling of 14177342816 in words is "fourteen billion, one hundred seventy-seven million, three hundred forty-two thousand, eight hundred sixteen".