14359546146000 has 320 divisors, whose sum is σ = 52132992417792. Its totient is φ = 3368808000000.

The previous prime is 14359546145941. The next prime is 14359546146013. The reversal of 14359546146000 is 64164595341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463176 + ... + 5555175.

Almost surely, 2^{14359546146000} is an apocalyptic number.

14359546146000 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 14359546146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066496208896).

14359546146000 is an abundant number, since it is smaller than the sum of its proper divisors (37773446271792).

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

14359546146000 is a wasteful number, since it uses less digits than its factorization.

14359546146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018419 (or 7018403 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 14359546146000 in words is "fourteen trillion, three hundred fifty-nine billion, five hundred forty-six million, one hundred forty-six thousand".