468990387456 has 216 divisors, whose sum is σ = 1303257114432. Its totient is φ = 149704704000.

The previous prime is 468990387409. The next prime is 468990387469. The reversal of 468990387456 is 654783099864.

It is a super-2 number, since 2×468990387456² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71587381 + ... + 71593931.

It is an arithmetic number, because the mean of its divisors is an integer number (6033597752).

Almost surely, 2^468990387456 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 468990387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651628557216).

468990387456 is an abundant number, since it is smaller than the sum of its proper divisors (834266726976).

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

468990387456 is an equidigital number, since it uses as much as digits as its factorization.

468990387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 468990387456 in words is "four hundred sixty-eight billion, nine hundred ninety million, three hundred eighty-seven thousand, four hundred fifty-six".