450025652834736 has 320 divisors, whose sum is σ = 1318298623488000. Its totient is φ = 131052125491200.

The previous prime is 450025652834729. The next prime is 450025652834801. The reversal of 450025652834736 is 637438256520054.

It is a self number, because there is not a number n which added to its sum of digits gives 450025652834736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10138202430 + ... + 10138246818.

It is an arithmetic number, because the mean of its divisors is an integer number (4119683198400).

Almost surely, 2^{450025652834736} 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 450025652834736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659149311744000).

450025652834736 is an abundant number, since it is smaller than the sum of its proper divisors (868272970653264).

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

450025652834736 is a wasteful number, since it uses less digits than its factorization.

450025652834736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48748 (or 48742 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 450025652834736 in words is "four hundred fifty trillion, twenty-five billion, six hundred fifty-two million, eight hundred thirty-four thousand, seven hundred thirty-six".