14001216768 has 864 divisors, whose sum is σ = 54283407360. Its totient is φ = 3493601280.

The previous prime is 14001216703. The next prime is 14001216769. The reversal of 14001216768 is 86761210041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001216769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177230553 + ... + 177230631.

Almost surely, 2^14001216768 is an apocalyptic number.

14001216768 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 14001216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141703680).

14001216768 is an abundant number, since it is smaller than the sum of its proper divisors (40282190592).

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

14001216768 is an equidigital number, since it uses as much as digits as its factorization.

14001216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14001216768 in words is "fourteen billion, one million, two hundred sixteen thousand, seven hundred sixty-eight".