14442983460864 has 1248 divisors, whose sum is σ = 51275397888000. Its totient is φ = 3825881579520.

The previous prime is 14442983460833. The next prime is 14442983460877. The reversal of 14442983460864 is 46806438924441.

14442983460864 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 98 + 3 + 460 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72577806237 + ... + 72577806435.

It is an arithmetic number, because the mean of its divisors is an integer number (41086056000).

Almost surely, 2^{14442983460864} is an apocalyptic number.

14442983460864 is a gapful number since it is divisible by the number (14) 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 14442983460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637698944000).

14442983460864 is an abundant number, since it is smaller than the sum of its proper divisors (36832414427136).

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

14442983460864 is a wasteful number, since it uses less digits than its factorization.

14442983460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 14442983460864 in words is "fourteen trillion, four hundred forty-two billion, nine hundred eighty-three million, four hundred sixty thousand, eight hundred sixty-four".