468285953199480 has 192 divisors, whose sum is σ = 1710261742512960. Its totient is φ = 110258632433664.

The previous prime is 468285953199293. The next prime is 468285953199481. The reversal of 468285953199480 is 84991359582864.

468285953199480 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 8 + 595 + 3 + 19 + 9 + 4 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 468285953199480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468285953199481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175133689 + ... + 2175348968.

It is an arithmetic number, because the mean of its divisors is an integer number (8907613242255).

Almost surely, 2^{468285953199480} is an apocalyptic number.

468285953199480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468285953199480 is an abundant number, since it is smaller than the sum of its proper divisors (1241975789313480).

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

468285953199480 is a wasteful number, since it uses less digits than its factorization.

468285953199480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350482710 (or 4350482703 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 81.

The spelling of 468285953199480 in words is "four hundred sixty-eight trillion, two hundred eighty-five billion, nine hundred fifty-three million, one hundred ninety-nine thousand, four hundred eighty".