468538881000 has 192 divisors, whose sum is σ = 1502431519680. Its totient is φ = 121565779200.

The previous prime is 468538880983. The next prime is 468538881049. The reversal of 468538881000 is 188835864.

It is a Cunningham number, because it is equal to 684499²-1.

It is a super-2 number, since 2×468538881000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4049959 + ... + 4164041.

It is an arithmetic number, because the mean of its divisors is an integer number (7825164165).

Almost surely, 2^468538881000 is an apocalyptic number.

468538881000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468538881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751215759840).

468538881000 is an abundant number, since it is smaller than the sum of its proper divisors (1033892638680).

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

468538881000 is a wasteful number, since it uses less digits than its factorization.

468538881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114181 (or 114130 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 468538881000 in words is "four hundred sixty-eight billion, five hundred thirty-eight million, eight hundred eighty-one thousand".