14450749200 has 270 divisors, whose sum is σ = 51830383722. Its totient is φ = 3728332800.

The previous prime is 14450749199. The next prime is 14450749211. The reversal of 14450749200 is 294705441.

It is a happy number.

14450749200 is a `hidden beast` number, since 1 + 445 + 0 + 7 + 4 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3367713024 + 11083036176 = 58032^2 + 105276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3457512 + ... + 3461688.

Almost surely, 2^14450749200 is an apocalyptic number.

14450749200 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 14450749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915191861).

14450749200 is an abundant number, since it is smaller than the sum of its proper divisors (37379634522).

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

14450749200 is a wasteful number, since it uses less digits than its factorization.

14450749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4218 counting only the distinct ones).

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

The spelling of 14450749200 in words is "fourteen billion, four hundred fifty million, seven hundred forty-nine thousand, two hundred".