465712776896 has 224 divisors, whose sum is σ = 1016897656320. Its totient is φ = 210843648000.

The previous prime is 465712776863. The next prime is 465712776929. The reversal of 465712776896 is 698677217564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465712776863) and next prime (465712776929).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1161378296 + ... + 1161378696.

It is an arithmetic number, because the mean of its divisors is an integer number (4539721680).

Almost surely, 2^465712776896 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 465712776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508448828160).

465712776896 is an abundant number, since it is smaller than the sum of its proper divisors (551184879424).

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

465712776896 is a wasteful number, since it uses less digits than its factorization.

465712776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 68.

The spelling of 465712776896 in words is "four hundred sixty-five billion, seven hundred twelve million, seven hundred seventy-six thousand, eight hundred ninety-six".