14745313800 has 1152 divisors, whose sum is σ = 64930844160. Its totient is φ = 2919628800.

The previous prime is 14745313771. The next prime is 14745313801. The reversal of 14745313800 is 831354741.

It is a happy number.

14745313800 is a `hidden beast` number, since 1 + 47 + 4 + 531 + 3 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14745313801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 201990564 + ... + 201990636.

It is an arithmetic number, because the mean of its divisors is an integer number (56363580).

Almost surely, 2^14745313800 is an apocalyptic number.

14745313800 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 14745313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465422080).

14745313800 is an abundant number, since it is smaller than the sum of its proper divisors (50185530360).

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

14745313800 is a wasteful number, since it uses less digits than its factorization.

14745313800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14745313800 in words is "fourteen billion, seven hundred forty-five million, three hundred thirteen thousand, eight hundred".