468745622496 has 144 divisors (see below), whose sum is σ = 1374357230064. Its totient is φ = 151433183232.

The previous prime is 468745622473. The next prime is 468745622497. The reversal of 468745622496 is 694226547864.

It is a happy number.

468745622496 is a `hidden beast` number, since 4 + 6 + 8 + 74 + 56 + 22 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468745622497) 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 23 ways as a sum of consecutive naturals, for example, 2653011 + ... + 2824173.

It is an arithmetic number, because the mean of its divisors is an integer number (9544147431).

Almost surely, 2^468745622496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468745622496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687178615032).

468745622496 is an abundant number, since it is smaller than the sum of its proper divisors (905611607568).

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

468745622496 is a wasteful number, since it uses less digits than its factorization.

468745622496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171473 (or 171462 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 468745622496 in words is "four hundred sixty-eight billion, seven hundred forty-five million, six hundred twenty-two thousand, four hundred ninety-six".