14454011000 has 256 divisors, whose sum is σ = 40411163520. Its totient is φ = 4769280000.

The previous prime is 14454010993. The next prime is 14454011009. The reversal of 14454011000 is 11045441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454011009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8722172 + ... + 8723828.

Almost surely, 2^14454011000 is an apocalyptic number.

14454011000 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 14454011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205581760).

14454011000 is an abundant number, since it is smaller than the sum of its proper divisors (25957152520).

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

14454011000 is a wasteful number, since it uses less digits than its factorization.

14454011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14454011000 its reverse (11045441), we get a palindrome (14465056441).

The spelling of 14454011000 in words is "fourteen billion, four hundred fifty-four million, eleven thousand".