468884047120 has 80 divisors (see below), whose sum is σ = 1118859281280. Its totient is φ = 182678234112.

The previous prime is 468884047069. The next prime is 468884047153. The reversal of 468884047120 is 21740488864.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14412 + ... + 968491.

It is an arithmetic number, because the mean of its divisors is an integer number (13985741016).

Almost surely, 2^468884047120 is an apocalyptic number.

468884047120 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 468884047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559429640640).

468884047120 is an abundant number, since it is smaller than the sum of its proper divisors (649975234160).

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

468884047120 is a wasteful number, since it uses less digits than its factorization.

468884047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983072 (or 983066 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 468884047120 in words is "four hundred sixty-eight billion, eight hundred eighty-four million, forty-seven thousand, one hundred twenty".