14012919648 has 1008 divisors, whose sum is σ = 55389077856. Its totient is φ = 3448811520.

The previous prime is 14012919587. The next prime is 14012919649. The reversal of 14012919648 is 84691921041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×14012919648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012919649) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 341778508 + ... + 341778548.

It is an arithmetic number, because the mean of its divisors is an integer number (54949482).

Almost surely, 2^14012919648 is an apocalyptic number.

14012919648 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 14012919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27694538928).

14012919648 is an abundant number, since it is smaller than the sum of its proper divisors (41376158208).

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

14012919648 is a wasteful number, since it uses less digits than its factorization.

14012919648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 14012919648 in words is "fourteen billion, twelve million, nine hundred nineteen thousand, six hundred forty-eight".