465212664000 has 1008 divisors, whose sum is σ = 2003033616480. Its totient is φ = 102645043200.

The previous prime is 465212663963. The next prime is 465212664017. The reversal of 465212664000 is 466212564.

465212664000 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 1 + 2 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 102309727 + ... + 102314273.

Almost surely, 2^465212664000 is an apocalyptic number.

465212664000 is a gapful number since it is divisible by the number (40) 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 465212664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001516808240).

465212664000 is an abundant number, since it is smaller than the sum of its proper divisors (1537820952480).

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

465212664000 is a wasteful number, since it uses less digits than its factorization.

465212664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 465212664000 its reverse (466212564), we get a palindrome (465678876564).

The spelling of 465212664000 in words is "four hundred sixty-five billion, two hundred twelve million, six hundred sixty-four thousand".