450633530204032 has 256 divisors, whose sum is σ = 1081611039697920. Its totient is φ = 182833967923200.

The previous prime is 450633530204021. The next prime is 450633530204069. The reversal of 450633530204032 is 230402035336054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5730076903 + ... + 5730155545.

It is an arithmetic number, because the mean of its divisors is an integer number (4225043123820).

Almost surely, 2^{450633530204032} 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 450633530204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540805519848960).

450633530204032 is an abundant number, since it is smaller than the sum of its proper divisors (630977509493888).

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

450633530204032 is a wasteful number, since it uses less digits than its factorization.

450633530204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81541 (or 81529 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

The spelling of 450633530204032 in words is "four hundred fifty trillion, six hundred thirty-three billion, five hundred thirty million, two hundred four thousand, thirty-two".