468148382784 has 280 divisors, whose sum is σ = 1414127890560. Its totient is φ = 153107076096.

The previous prime is 468148382761. The next prime is 468148382789. The reversal of 468148382784 is 487283841864.

468148382784 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 483 + 82 + 78 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (468148382789) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66750862 + ... + 66757874.

It is an arithmetic number, because the mean of its divisors is an integer number (5050456752).

Almost surely, 2^468148382784 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 468148382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707063945280).

468148382784 is an abundant number, since it is smaller than the sum of its proper divisors (945979507776).

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

468148382784 is a wasteful number, since it uses less digits than its factorization.

468148382784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7260 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 468148382784 in words is "four hundred sixty-eight billion, one hundred forty-eight million, three hundred eighty-two thousand, seven hundred eighty-four".