468258667344 has 240 divisors, whose sum is σ = 1418475711744. Its totient is φ = 143347276800.

The previous prime is 468258667333. The next prime is 468258667351. The reversal of 468258667344 is 443766852864.

468258667344 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 586 + 6 + 7 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 441336574 + ... + 441337634.

Almost surely, 2^468258667344 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 468258667344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709237855872).

468258667344 is an abundant number, since it is smaller than the sum of its proper divisors (950217044400).

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

468258667344 is a wasteful number, since it uses less digits than its factorization.

468258667344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2057 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 468258667344 in words is "four hundred sixty-eight billion, two hundred fifty-eight million, six hundred sixty-seven thousand, three hundred forty-four".