468634525071306 has 256 divisors, whose sum is σ = 1060974684057600. Its totient is φ = 136777203763200.

The previous prime is 468634525071287. The next prime is 468634525071367. The reversal of 468634525071306 is 603170525436864.

It is a happy number.

It is a super-3 number, since 3×468634525071306³ (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 468634525071306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185892313326 + ... + 185892315846.

It is an arithmetic number, because the mean of its divisors is an integer number (4144432359600).

Almost surely, 2^{468634525071306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468634525071306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530487342028800).

468634525071306 is an abundant number, since it is smaller than the sum of its proper divisors (592340158986294).

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

468634525071306 is a wasteful number, since it uses less digits than its factorization.

468634525071306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085.

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 468634525071306 in words is "four hundred sixty-eight trillion, six hundred thirty-four billion, five hundred twenty-five million, seventy-one thousand, three hundred six".