14246979896448 has 480 divisors, whose sum is σ = 44549999711100. Its totient is φ = 4370231623680.

The previous prime is 14246979896423. The next prime is 14246979896557. The reversal of 14246979896448 is 84469897964241.

14246979896448 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 6 + 97 + 9 + 89 + 6 + 448 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13449588047424 + 797391849024 = 3667368^2 + 892968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18721392388 + ... + 18721393148.

Almost surely, 2^{14246979896448} is an apocalyptic number.

14246979896448 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 14246979896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274999855550).

14246979896448 is an abundant number, since it is smaller than the sum of its proper divisors (30303019814652).

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

14246979896448 is an frugal number, since it uses more digits than its factorization.

14246979896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1348 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 14246979896448 in words is "fourteen trillion, two hundred forty-six billion, nine hundred seventy-nine million, eight hundred ninety-six thousand, four hundred forty-eight".