465514656768 has 1056 divisors, whose sum is σ = 1716728832000. Its totient is φ = 122974765056.

The previous prime is 465514656767. The next prime is 465514656769. The reversal of 465514656768 is 867656415564.

It is a happy number.

465514656768 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 1 + 4 + 6 + 567 + 68 = 666.

465514656768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (465514656767) and next prime (465514656769).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465514656767) 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 95 ways as a sum of consecutive naturals, for example, 2339269533 + ... + 2339269731.

Almost surely, 2^465514656768 is an apocalyptic number.

465514656768 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 465514656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416000).

465514656768 is an abundant number, since it is smaller than the sum of its proper divisors (1251214175232).

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

465514656768 is a wasteful number, since it uses less digits than its factorization.

465514656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 465514656768 in words is "four hundred sixty-five billion, five hundred fourteen million, six hundred fifty-six thousand, seven hundred sixty-eight".