14140746816 has 112 divisors (see below), whose sum is σ = 42812305536. Its totient is φ = 4035170304.

The previous prime is 14140746799. The next prime is 14140746821. The reversal of 14140746816 is 61864704141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145670 + ... + 1157946.

It is an arithmetic number, because the mean of its divisors is an integer number (382252728).

Almost surely, 2^14140746816 is an apocalyptic number.

14140746816 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 14140746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406152768).

14140746816 is an abundant number, since it is smaller than the sum of its proper divisors (28671558720).

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

14140746816 is a wasteful number, since it uses less digits than its factorization.

14140746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156 (or 13146 counting only the distinct ones).

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

The spelling of 14140746816 in words is "fourteen billion, one hundred forty million, seven hundred forty-six thousand, eight hundred sixteen".