14301697804368 has 320 divisors, whose sum is σ = 43735534080000. Its totient is φ = 3984702087168.

The previous prime is 14301697804357. The next prime is 14301697804403. The reversal of 14301697804368 is 86340879610341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381471768 + ... + 381509256.

It is an arithmetic number, because the mean of its divisors is an integer number (136673544000).

Almost surely, 2^{14301697804368} 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 14301697804368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867767040000).

14301697804368 is an abundant number, since it is smaller than the sum of its proper divisors (29433836275632).

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

14301697804368 is a wasteful number, since it uses less digits than its factorization.

14301697804368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38954 (or 38948 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 14301697804368 in words is "fourteen trillion, three hundred one billion, six hundred ninety-seven million, eight hundred four thousand, three hundred sixty-eight".