14454130035000 has 320 divisors, whose sum is σ = 45791571006720. Its totient is φ = 3800260480000.

The previous prime is 14454130034963. The next prime is 14454130035049. The reversal of 14454130035000 is 53003145441.

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 79 ways as a sum of consecutive naturals, for example, 626223460 + ... + 626246540.

It is an arithmetic number, because the mean of its divisors is an integer number (143098659396).

Almost surely, 2^{14454130035000} is an apocalyptic number.

14454130035000 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 14454130035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895785503360).

14454130035000 is an abundant number, since it is smaller than the sum of its proper divisors (31337440971720).

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

14454130035000 is a wasteful number, since it uses less digits than its factorization.

14454130035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23677 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 14454130035000 in words is "fourteen trillion, four hundred fifty-four billion, one hundred thirty million, thirty-five thousand".