468063959104 has 189 divisors, whose sum is σ = 1142092925487. Its totient is φ = 189745452288.

The previous prime is 468063959089. The next prime is 468063959107. The reversal of 468063959104 is 401959360864.

It is a happy number.

The square root of 468063959104 is 684152.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×468063959104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468063959107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 727937407 + ... + 727938049.

Almost surely, 2^468063959104 is an apocalyptic number.

468063959104 is the 684152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468063959104

468063959104 is an abundant number, since it is smaller than the sum of its proper divisors (674028966383).

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

468063959104 is an frugal number, since it uses more digits than its factorization.

468063959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 468063959104 in words is "four hundred sixty-eight billion, sixty-three million, nine hundred fifty-nine thousand, one hundred four".