468398899584 has 1344 divisors, whose sum is σ = 1814902891200. Its totient is φ = 118983997440.

The previous prime is 468398899571. The next prime is 468398899607. The reversal of 468398899584 is 485998893864.

468398899584 is a `hidden beast` number, since 4 + 68 + 398 + 8 + 9 + 95 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3369776187 + ... + 3369776325.

It is an arithmetic number, because the mean of its divisors is an integer number (1350374175).

Almost surely, 2^468398899584 is an apocalyptic number.

468398899584 is a gapful number since it is divisible by the number (44) 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 468398899584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907451445600).

468398899584 is an abundant number, since it is smaller than the sum of its proper divisors (1346503991616).

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

468398899584 is a wasteful number, since it uses less digits than its factorization.

468398899584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 229 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 81.

The spelling of 468398899584 in words is "four hundred sixty-eight billion, three hundred ninety-eight million, eight hundred ninety-nine thousand, five hundred eighty-four".