450201622002 has 128 divisors (see below), whose sum is σ = 1010078484480. Its totient is φ = 133737912000.

The previous prime is 450201621997. The next prime is 450201622007. The reversal of 450201622002 is 200226102054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450201621997) and next prime (450201622007).

It is not an unprimeable number, because it can be changed into a prime (450201622007) 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, 83075649 + ... + 83081067.

It is an arithmetic number, because the mean of its divisors is an integer number (7891238160).

Almost surely, 2^450201622002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450201622002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505039242240).

450201622002 is an abundant number, since it is smaller than the sum of its proper divisors (559876862478).

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

450201622002 is a wasteful number, since it uses less digits than its factorization.

450201622002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 450201622002 its reverse (200226102054), we get a palindrome (650427724056).

The spelling of 450201622002 in words is "four hundred fifty billion, two hundred one million, six hundred twenty-two thousand, two".