468893335248 has 400 divisors, whose sum is σ = 1546684339200. Its totient is φ = 135948119040.

The previous prime is 468893335237. The next prime is 468893335279. The reversal of 468893335248 is 842533398864.

It is a happy number.

468893335248 is a `hidden beast` number, since 468 + 8 + 93 + 33 + 52 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61137558 + ... + 61145226.

It is an arithmetic number, because the mean of its divisors is an integer number (3866710848).

Almost surely, 2^468893335248 is an apocalyptic number.

468893335248 is a gapful number since it is divisible by the number (48) 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 468893335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773342169600).

468893335248 is an abundant number, since it is smaller than the sum of its proper divisors (1077791003952).

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

468893335248 is a wasteful number, since it uses less digits than its factorization.

468893335248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7897 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 468893335248 in words is "four hundred sixty-eight billion, eight hundred ninety-three million, three hundred thirty-five thousand, two hundred forty-eight".