450102053230344 has 384 divisors, whose sum is σ = 1287200677276800. Its totient is φ = 141955845857280.

The previous prime is 450102053230331. The next prime is 450102053230367. The reversal of 450102053230344 is 443032350201054.

450102053230344 is a `hidden beast` number, since 4 + 5 + 0 + 10 + 20 + 53 + 230 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 450102053230299 and 450102053230308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3350427127 + ... + 3350561465.

It is an arithmetic number, because the mean of its divisors is an integer number (3352085097075).

Almost surely, 2^{450102053230344} 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 450102053230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643600338638400).

450102053230344 is an abundant number, since it is smaller than the sum of its proper divisors (837098624046456).

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

450102053230344 is a wasteful number, since it uses less digits than its factorization.

450102053230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134725 (or 134718 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 450102053230344 in words is "four hundred fifty trillion, one hundred two billion, fifty-three million, two hundred thirty thousand, three hundred forty-four".