14348010768 has 240 divisors, whose sum is σ = 47457141120. Its totient is φ = 3653185536.

The previous prime is 14348010737. The next prime is 14348010769. The reversal of 14348010768 is 86701084341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14348010769) 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, 1642380 + ... + 1651092.

It is an arithmetic number, because the mean of its divisors is an integer number (197738088).

Almost surely, 2^14348010768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14348010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728570560).

14348010768 is an abundant number, since it is smaller than the sum of its proper divisors (33109130352).

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

14348010768 is a wasteful number, since it uses less digits than its factorization.

14348010768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14348010768 in words is "fourteen billion, three hundred forty-eight million, ten thousand, seven hundred sixty-eight".