14354103234000 has 320 divisors, whose sum is σ = 46755129837312. Its totient is φ = 3788296960000.

The previous prime is 14354103233959. The next prime is 14354103234151. The reversal of 14354103234000 is 43230145341.

It is a super-3 number, since 3×14354103234000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2664579307 + ... + 2664584693.

Almost surely, 2^{14354103234000} is an apocalyptic number.

14354103234000 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 14354103234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377564918656).

14354103234000 is an abundant number, since it is smaller than the sum of its proper divisors (32401026603312).

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

14354103234000 is a wasteful number, since it uses less digits than its factorization.

14354103234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14354103234000 its reverse (43230145341), we get a palindrome (14397333379341).

The spelling of 14354103234000 in words is "fourteen trillion, three hundred fifty-four billion, one hundred three million, two hundred thirty-four thousand".