465641016645450 has 192 divisors, whose sum is σ = 1168189581081600. Its totient is φ = 122738455027200.

The previous prime is 465641016645403. The next prime is 465641016645451. The reversal of 465641016645450 is 54546610146564.

It is not an unprimeable number, because it can be changed into a prime (465641016645451) 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, 9930685606 + ... + 9930732494.

It is an arithmetic number, because the mean of its divisors is an integer number (6084320734800).

Almost surely, 2^{465641016645450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465641016645450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584094790540800).

465641016645450 is an abundant number, since it is smaller than the sum of its proper divisors (702548564436150).

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

465641016645450 is a wasteful number, since it uses less digits than its factorization.

465641016645450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49117 (or 49112 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 465641016645450 in words is "four hundred sixty-five trillion, six hundred forty-one billion, sixteen million, six hundred forty-five thousand, four hundred fifty".