14514948768 has 96 divisors (see below), whose sum is σ = 40558190400. Its totient is φ = 4532115456.

The previous prime is 14514948757. The next prime is 14514948769. The reversal of 14514948768 is 86784941541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (14514948769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117630 + ... + 207042.

It is an arithmetic number, because the mean of its divisors is an integer number (422481150).

Almost surely, 2^14514948768 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 14514948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279095200).

14514948768 is an abundant number, since it is smaller than the sum of its proper divisors (26043241632).

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

14514948768 is a wasteful number, since it uses less digits than its factorization.

14514948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89534 (or 89526 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 14514948768 in words is "fourteen billion, five hundred fourteen million, nine hundred forty-eight thousand, seven hundred sixty-eight".