468802208864 has 72 divisors (see below), whose sum is σ = 1016190341208. Its totient is φ = 211135057920.

The previous prime is 468802208863. The next prime is 468802208921.

It is a happy number.

468802208864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×468802208864² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468802208863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126064 + ... + 4238160.

It is an arithmetic number, because the mean of its divisors is an integer number (14113754739).

Almost surely, 2^468802208864 is an apocalyptic number.

468802208864 is a gapful number since it is divisible by the number (44) 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 468802208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508095170604).

468802208864 is an abundant number, since it is smaller than the sum of its proper divisors (547388132344).

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

468802208864 is a wasteful number, since it uses less digits than its factorization.

468802208864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112336 (or 112219 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 468802208864 in words is "four hundred sixty-eight billion, eight hundred two million, two hundred eight thousand, eight hundred sixty-four".