14267086848 has 768 divisors, whose sum is σ = 52835328000. Its totient is φ = 3715891200.

The previous prime is 14267086837. The next prime is 14267086849. The reversal of 14267086848 is 84868076241.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14267086794 and 14267086803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14267086849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347977708 + ... + 347977748.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^14267086848 is an apocalyptic number.

14267086848 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 14267086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

14267086848 is an abundant number, since it is smaller than the sum of its proper divisors (38568241152).

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

14267086848 is a wasteful number, since it uses less digits than its factorization.

14267086848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14267086848 in words is "fourteen billion, two hundred sixty-seven million, eighty-six thousand, eight hundred forty-eight".