14077848840960 has 576 divisors, whose sum is σ = 47702588129280. Its totient is φ = 3533310443520.

The previous prime is 14077848840791. The next prime is 14077848840989. The reversal of 14077848840960 is 6904884877041.

It is a junction number, because it is equal to n+sod(n) for n = 14077848840891 and 14077848840900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630067549 + ... + 630089891.

It is an arithmetic number, because the mean of its divisors is an integer number (82816993280).

Almost surely, 2^{14077848840960} is an apocalyptic number.

14077848840960 is a gapful number since it is divisible by the number (10) 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 14077848840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851294064640).

14077848840960 is an abundant number, since it is smaller than the sum of its proper divisors (33624739288320).

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

14077848840960 is a wasteful number, since it uses less digits than its factorization.

14077848840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22544 (or 22530 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 14077848840960 in words is "fourteen trillion, seventy-seven billion, eight hundred forty-eight million, eight hundred forty thousand, nine hundred sixty".