465116134401 has 24 divisors (see below), whose sum is σ = 710421304320. Its totient is φ = 292756017600.

The previous prime is 465116134381. The next prime is 465116134423. The reversal of 465116134401 is 104431611564.

465116134401 is a `hidden beast` number, since 4 + 6 + 5 + 116 + 134 + 401 = 666.

It is not a de Polignac number, because 465116134401 - 2¹¹ = 465116132353 is a prime.

It is a super-3 number, since 3×465116134401³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (465116134471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20318841 + ... + 20341718.

It is an arithmetic number, because the mean of its divisors is an integer number (29600887680).

Almost surely, 2^465116134401 is an apocalyptic number.

465116134401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

465116134401 is a deficient number, since it is larger than the sum of its proper divisors (245305169919).

465116134401 is a wasteful number, since it uses less digits than its factorization.

465116134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40660637 (or 40660634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 465116134401 its reverse (104431611564), we get a palindrome (569547745965).

The spelling of 465116134401 in words is "four hundred sixty-five billion, one hundred sixteen million, one hundred thirty-four thousand, four hundred one".