14531466000 has 320 divisors, whose sum is σ = 50534265600. Its totient is φ = 3580416000.

The previous prime is 14531465911. The next prime is 14531466049. The reversal of 14531466000 is 66413541.

It is a super-2 number, since 2×14531466000² (a number of 21 digits) contains 22 as substring.

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

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, 4672446 + ... + 4675554.

It is an arithmetic number, because the mean of its divisors is an integer number (157919580).

Almost surely, 2^14531466000 is an apocalyptic number.

14531466000 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 14531466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267132800).

14531466000 is an abundant number, since it is smaller than the sum of its proper divisors (36002799600).

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

14531466000 is a wasteful number, since it uses less digits than its factorization.

14531466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 14531466000 its reverse (66413541), we get a palindrome (14597879541).

The spelling of 14531466000 in words is "fourteen billion, five hundred thirty-one million, four hundred sixty-six thousand".