465814087872 has 224 divisors, whose sum is σ = 1425332972544. Its totient is φ = 131507712000.

The previous prime is 465814087853. The next prime is 465814087873. The reversal of 465814087872 is 278780418564.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (465814087873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73434333 + ... + 73440675.

Almost surely, 2^465814087872 is an apocalyptic number.

465814087872 is a gapful number since it is divisible by the number (42) 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 465814087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712666486272).

465814087872 is an abundant number, since it is smaller than the sum of its proper divisors (959518884672).

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

465814087872 is a wasteful number, since it uses less digits than its factorization.

465814087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 465814087872 in words is "four hundred sixty-five billion, eight hundred fourteen million, eighty-seven thousand, eight hundred seventy-two".