14536801248 has 96 divisors (see below), whose sum is σ = 39134340000. Its totient is φ = 4722032640.

The previous prime is 14536801247. The next prime is 14536801259. The reversal of 14536801248 is 84210863541.

It is a happy number.

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

It is a super-2 number, since 2×14536801248² (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 (14536801247) 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, 4914586 + ... + 4917542.

It is an arithmetic number, because the mean of its divisors is an integer number (407649375).

Almost surely, 2^14536801248 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 14536801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567170000).

14536801248 is an abundant number, since it is smaller than the sum of its proper divisors (24597538752).

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

14536801248 is a wasteful number, since it uses less digits than its factorization.

14536801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 14536801248 in words is "fourteen billion, five hundred thirty-six million, eight hundred one thousand, two hundred forty-eight".