14771152000 has 512 divisors, whose sum is σ = 43306099200. Its totient is φ = 4956160000.

The previous prime is 14771151979. The next prime is 14771152003. The reversal of 14771152000 is 25117741.

It is a self number, because there is not a number n which added to its sum of digits gives 14771152000.

It is not an unprimeable number, because it can be changed into a prime (14771152003) 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, 165967956 + ... + 165968044.

It is an arithmetic number, because the mean of its divisors is an integer number (84582225).

Almost surely, 2^14771152000 is an apocalyptic number.

14771152000 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 14771152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

14771152000 is an abundant number, since it is smaller than the sum of its proper divisors (28534947200).

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

14771152000 is a wasteful number, since it uses less digits than its factorization.

14771152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 14771152000 its reverse (25117741), we get a palindrome (14796269741).

The spelling of 14771152000 in words is "fourteen billion, seven hundred seventy-one million, one hundred fifty-two thousand".