14145214418280 has 384 divisors, whose sum is σ = 51043122000000. Its totient is φ = 3368253358080.

The previous prime is 14145214418263. The next prime is 14145214418327. The reversal of 14145214418280 is 8281441254141.

14145214418280 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 52 + 1 + 441 + 82 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291792124 + ... + 291840596.

It is an arithmetic number, because the mean of its divisors is an integer number (132924796875).

Almost surely, 2^{14145214418280} is an apocalyptic number.

14145214418280 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 14145214418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521561000000).

14145214418280 is an abundant number, since it is smaller than the sum of its proper divisors (36897907581720).

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

14145214418280 is a wasteful number, since it uses less digits than its factorization.

14145214418280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49809 (or 49802 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 14145214418280 in words is "fourteen trillion, one hundred forty-five billion, two hundred fourteen million, four hundred eighteen thousand, two hundred eighty".