14893508448 has 288 divisors, whose sum is σ = 54420599520. Its totient is φ = 3927813120.

The previous prime is 14893508447. The next prime is 14893508459. The reversal of 14893508448 is 84480539841.

It is a happy number.

14893508448 is a `hidden beast` number, since 1 + 4 + 8 + 93 + 508 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 14893508394 and 14893508403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14893508447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536838 + ... + 563898.

It is an arithmetic number, because the mean of its divisors is an integer number (188960415).

Almost surely, 2^14893508448 is an apocalyptic number.

14893508448 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 14893508448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210299760).

14893508448 is an abundant number, since it is smaller than the sum of its proper divisors (39527091072).

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

14893508448 is a wasteful number, since it uses less digits than its factorization.

14893508448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27107 (or 27086 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14893508448 in words is "fourteen billion, eight hundred ninety-three million, five hundred eight thousand, four hundred forty-eight".