1450344168000 has 1344 divisors, whose sum is σ = 6542334489600. Its totient is φ = 298487808000.

The previous prime is 1450344167983. The next prime is 1450344168011. The reversal of 1450344168000 is 8614430541.

1450344168000 is a `hidden beast` number, since 1 + 450 + 3 + 44 + 168 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1450344168000² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 268629301 + ... + 268634699.

It is an arithmetic number, because the mean of its divisors is an integer number (4867808400).

Almost surely, 2^{1450344168000} is an apocalyptic number.

1450344168000 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 1450344168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271167244800).

1450344168000 is an abundant number, since it is smaller than the sum of its proper divisors (5091990321600).

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

1450344168000 is a wasteful number, since it uses less digits than its factorization.

1450344168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1450344168000 its reverse (8614430541), we get a palindrome (1458958598541).

The spelling of 1450344168000 in words is "one trillion, four hundred fifty billion, three hundred forty-four million, one hundred sixty-eight thousand".