468942265728 has 160 divisors (see below), whose sum is σ = 1412381207160. Its totient is φ = 154430502912.

The previous prime is 468942265721. The next prime is 468942265783. The reversal of 468942265728 is 827562249864.

468942265728 is a `hidden beast` number, since 4 + 6 + 89 + 422 + 65 + 72 + 8 = 666.

It is a super-2 number, since 2×468942265728² (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 (468942265721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 588076 + ... + 1133012.

Almost surely, 2^468942265728 is an apocalyptic number.

468942265728 is a gapful number since it is divisible by the number (48) 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 468942265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706190603580).

468942265728 is an abundant number, since it is smaller than the sum of its proper divisors (943438941432).

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

468942265728 is an equidigital number, since it uses as much as digits as its factorization.

468942265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545046 (or 545025 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 468942265728 in words is "four hundred sixty-eight billion, nine hundred forty-two million, two hundred sixty-five thousand, seven hundred twenty-eight".