14298289058016 has 288 divisors, whose sum is σ = 43280499225600. Its totient is φ = 4641225785856.

The previous prime is 14298289057979. The next prime is 14298289058017. The reversal of 14298289058016 is 61085098289241.

14298289058016 is a `hidden beast` number, since 1 + 4 + 29 + 8 + 28 + 9 + 0 + 580 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14298289058016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14298289058017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72630630 + ... + 72827226.

It is an arithmetic number, because the mean of its divisors is an integer number (150279511200).

Almost surely, 2^{14298289058016} is an apocalyptic number.

14298289058016 is a gapful number since it is divisible by the number (16) 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 14298289058016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640249612800).

14298289058016 is an abundant number, since it is smaller than the sum of its proper divisors (28982210167584).

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

14298289058016 is a wasteful number, since it uses less digits than its factorization.

14298289058016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196868 (or 196848 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 14298289058016 in words is "fourteen trillion, two hundred ninety-eight billion, two hundred eighty-nine million, fifty-eight thousand, sixteen".