14801227648 has 64 divisors (see below), whose sum is σ = 29972088000. Its totient is φ = 7279534080.

The previous prime is 14801227643. The next prime is 14801227663. The reversal of 14801227648 is 84672210841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14801227648² (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 (14801227643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2838868 + ... + 2844076.

It is an arithmetic number, because the mean of its divisors is an integer number (468313875).

Almost surely, 2^14801227648 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 14801227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986044000).

14801227648 is an abundant number, since it is smaller than the sum of its proper divisors (15170860352).

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

14801227648 is an equidigital number, since it uses as much as digits as its factorization.

14801227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 14801227648 in words is "fourteen billion, eight hundred one million, two hundred twenty-seven thousand, six hundred forty-eight".