14882963343360 has 768 divisors, whose sum is σ = 55543044211200. Its totient is φ = 3331590193152.

The previous prime is 14882963343317. The next prime is 14882963343373. The reversal of 14882963343360 is 6334336928841.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 14882963343294 and 14882963343303.

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, 9995273496 + ... + 9995274984.

It is an arithmetic number, because the mean of its divisors is an integer number (72321672150).

Almost surely, 2^{14882963343360} is an apocalyptic number.

14882963343360 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 14882963343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771522105600).

14882963343360 is an abundant number, since it is smaller than the sum of its proper divisors (40660080867840).

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

14882963343360 is a wasteful number, since it uses less digits than its factorization.

14882963343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 14882963343360 in words is "fourteen trillion, eight hundred eighty-two billion, nine hundred sixty-three million, three hundred forty-three thousand, three hundred sixty".