465306901141248 has 432 divisors, whose sum is σ = 1361695654519200. Its totient is φ = 152795866890240.

The previous prime is 465306901141241. The next prime is 465306901141253. The reversal of 465306901141248 is 842141109603564.

465306901141248 is a `hidden beast` number, since 4 + 6 + 5 + 306 + 90 + 1 + 1 + 4 + 1 + 248 = 666.

It is a super-2 number, since 2×465306901141248² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465306901141194 and 465306901141203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465306901141241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 115719197478 + ... + 115719201498.

It is an arithmetic number, because the mean of its divisors is an integer number (3152073274350).

Almost surely, 2^{465306901141248} is an apocalyptic number.

465306901141248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465306901141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680847827259600).

465306901141248 is an abundant number, since it is smaller than the sum of its proper divisors (896388753377952).

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

465306901141248 is a wasteful number, since it uses less digits than its factorization.

465306901141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 465306901141248 in words is "four hundred sixty-five trillion, three hundred six billion, nine hundred one million, one hundred forty-one thousand, two hundred forty-eight".