468485117892 has 288 divisors, whose sum is σ = 1375910215680. Its totient is φ = 132916412160.

The previous prime is 468485117861. The next prime is 468485117897. The reversal of 468485117892 is 298711584864.

468485117892 is a `hidden beast` number, since 4 + 6 + 8 + 48 + 511 + 78 + 9 + 2 = 666.

It is a super-2 number, since 2×468485117892² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468485117897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293352438 + ... + 293354034.

Almost surely, 2^468485117892 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 468485117892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687955107840).

468485117892 is an abundant number, since it is smaller than the sum of its proper divisors (907425097788).

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

468485117892 is a wasteful number, since it uses less digits than its factorization.

468485117892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2066 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 468485117892 in words is "four hundred sixty-eight billion, four hundred eighty-five million, one hundred seventeen thousand, eight hundred ninety-two".