14297942016 has 384 divisors, whose sum is σ = 46126080000. Its totient is φ = 4359536640.

The previous prime is 14297941981. The next prime is 14297942027. The reversal of 14297942016 is 61024979241.

14297942016 is a `hidden beast` number, since 142 + 9 + 79 + 420 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14297942016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32569125 + ... + 32569563.

It is an arithmetic number, because the mean of its divisors is an integer number (120120000).

Almost surely, 2^14297942016 is an apocalyptic number.

14297942016 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 14297942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040000).

14297942016 is an abundant number, since it is smaller than the sum of its proper divisors (31828137984).

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

14297942016 is a wasteful number, since it uses less digits than its factorization.

14297942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14297942016 in words is "fourteen billion, two hundred ninety-seven million, nine hundred forty-two thousand, sixteen".