14076488448 has 252 divisors, whose sum is σ = 45964208808. Its totient is φ = 4264980480.

The previous prime is 14076488441. The next prime is 14076488449. The reversal of 14076488448 is 84488467041.

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 = 14076488394 and 14076488403.

It is not an unprimeable number, because it can be changed into a prime (14076488441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2049436 + ... + 2056292.

It is an arithmetic number, because the mean of its divisors is an integer number (182397654).

Almost surely, 2^14076488448 is an apocalyptic number.

14076488448 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 14076488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982104404).

14076488448 is an abundant number, since it is smaller than the sum of its proper divisors (31887720360).

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

14076488448 is an frugal number, since it uses more digits than its factorization.

14076488448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 14076488448 in words is "fourteen billion, seventy-six million, four hundred eighty-eight thousand, four hundred forty-eight".