14345097600 has 192 divisors, whose sum is σ = 47686122000. Its totient is φ = 3789987840.

The previous prime is 14345097587. The next prime is 14345097661. The reversal of 14345097600 is 679054341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039546 + ... + 1053254.

Almost surely, 2^14345097600 is an apocalyptic number.

14345097600 is a gapful number since it is divisible by the number (10) 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 14345097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843061000).

14345097600 is an abundant number, since it is smaller than the sum of its proper divisors (33341024400).

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

14345097600 is a wasteful number, since it uses less digits than its factorization.

14345097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 14345097600 in words is "fourteen billion, three hundred forty-five million, ninety-seven thousand, six hundred".