14421166897824 has 480 divisors, whose sum is σ = 45830776178880. Its totient is φ = 4433729384448.

The previous prime is 14421166897799. The next prime is 14421166897849. The reversal of 14421166897824 is 42879866112441.

14421166897824 is a `hidden beast` number, since 1 + 4 + 421 + 1 + 66 + 89 + 78 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14421166897799) and next prime (14421166897849).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 662817954 + ... + 662839710.

It is an arithmetic number, because the mean of its divisors is an integer number (95480783706).

Almost surely, 2^{14421166897824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14421166897824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915388089440).

14421166897824 is an abundant number, since it is smaller than the sum of its proper divisors (31409609281056).

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

14421166897824 is a wasteful number, since it uses less digits than its factorization.

14421166897824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22154 (or 22137 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 14421166897824 in words is "fourteen trillion, four hundred twenty-one billion, one hundred sixty-six million, eight hundred ninety-seven thousand, eight hundred twenty-four".