14473895869680 has 640 divisors, whose sum is σ = 50299760609280. Its totient is φ = 3419920465920.

The previous prime is 14473895869669. The next prime is 14473895869691. The reversal of 14473895869680 is 8696859837441.

It is an interprime number because it is at equal distance from previous prime (14473895869669) and next prime (14473895869691).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 14473895869596 and 14473895869605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4360919061 + ... + 4360922379.

It is an arithmetic number, because the mean of its divisors is an integer number (78593375952).

Almost surely, 2^{14473895869680} is an apocalyptic number.

14473895869680 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 14473895869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149880304640).

14473895869680 is an abundant number, since it is smaller than the sum of its proper divisors (35825864739600).

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

14473895869680 is a wasteful number, since it uses less digits than its factorization.

14473895869680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 14473895869680 in words is "fourteen trillion, four hundred seventy-three billion, eight hundred ninety-five million, eight hundred sixty-nine thousand, six hundred eighty".