450168621100 has 288 divisors, whose sum is σ = 1132789996800. Its totient is φ = 153730483200.

The previous prime is 450168621073. The next prime is 450168621103. The reversal of 450168621100 is 1126861054.

It is not an unprimeable number, because it can be changed into a prime (450168621103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421111366 + ... + 421112434.

It is an arithmetic number, because the mean of its divisors is an integer number (3933298600).

Almost surely, 2^450168621100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450168621100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566394998400).

450168621100 is an abundant number, since it is smaller than the sum of its proper divisors (682621375700).

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

450168621100 is a wasteful number, since it uses less digits than its factorization.

450168621100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 450168621100 in words is "four hundred fifty billion, one hundred sixty-eight million, six hundred twenty-one thousand, one hundred".