468169288704 has 528 divisors, whose sum is σ = 1519305016320. Its totient is φ = 137859563520.

The previous prime is 468169288693. The next prime is 468169288723. The reversal of 468169288704 is 407882961864.

468169288704 is a `hidden beast` number, since 468 + 1 + 6 + 92 + 8 + 87 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441252334 + ... + 441253394.

Almost surely, 2^468169288704 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 468169288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759652508160).

468169288704 is an abundant number, since it is smaller than the sum of its proper divisors (1051135727616).

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

468169288704 is a wasteful number, since it uses less digits than its factorization.

468169288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 468169288704 in words is "four hundred sixty-eight billion, one hundred sixty-nine million, two hundred eighty-eight thousand, seven hundred four".