14454034000 has 160 divisors (see below), whose sum is σ = 40042080000. Its totient is φ = 4943347200.

The previous prime is 14454033983. The next prime is 14454034037. The reversal of 14454034000 is 43045441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6984966 + ... + 6987034.

It is an arithmetic number, because the mean of its divisors is an integer number (250263000).

Almost surely, 2^14454034000 is an apocalyptic number.

14454034000 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 14454034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040000).

14454034000 is an abundant number, since it is smaller than the sum of its proper divisors (25588046000).

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

14454034000 is a wasteful number, since it uses less digits than its factorization.

14454034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14454034000 its reverse (43045441), we get a palindrome (14497079441).

The spelling of 14454034000 in words is "fourteen billion, four hundred fifty-four million, thirty-four thousand".