468202202864 has 40 divisors (see below), whose sum is σ = 989999909760. Its totient is φ = 212735160000.

The previous prime is 468202202861. The next prime is 468202202893.

468202202864 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×468202202864⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468202202861) 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 7 ways as a sum of consecutive naturals, for example, 77012 + ... + 970739.

It is an arithmetic number, because the mean of its divisors is an integer number (24749997744).

Almost surely, 2^468202202864 is an apocalyptic number.

468202202864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468202202864 is an abundant number, since it is smaller than the sum of its proper divisors (521797706896).

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

468202202864 is a wasteful number, since it uses less digits than its factorization.

468202202864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050309 (or 1050303 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 468202202864 in words is "four hundred sixty-eight billion, two hundred two million, two hundred two thousand, eight hundred sixty-four".