468315760896 has 243 divisors, whose sum is σ = 1381362379579. Its totient is φ = 152590503936.

The previous prime is 468315760877. The next prime is 468315760897. The reversal of 468315760896 is 698067513864.

The square root of 468315760896 is 684336.

It is a perfect power (a square), and thus also a powerful number.

468315760896 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 15 + 7 + 608 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40160160000 + 428155600896 = 200400^2 + 654336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468315760897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1740950650 + ... + 1740950918.

Almost surely, 2^468315760896 is an apocalyptic number.

468315760896 is the 684336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468315760896

468315760896 is an abundant number, since it is smaller than the sum of its proper divisors (913046618683).

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

468315760896 is an frugal number, since it uses more digits than its factorization.

468315760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 468315760896 in words is "four hundred sixty-eight billion, three hundred fifteen million, seven hundred sixty thousand, eight hundred ninety-six".