468016716301728 has 96 divisors (see below), whose sum is σ = 1383462903416832. Its totient is φ = 137248303891200.

The previous prime is 468016716301727. The next prime is 468016716301751. The reversal of 468016716301728 is 827103617610864.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (468016716301721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7148316426 + ... + 7148381897.

It is an arithmetic number, because the mean of its divisors is an integer number (14411071910592).

Almost surely, 2^{468016716301728} is an apocalyptic number.

468016716301728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468016716301728 is an abundant number, since it is smaller than the sum of its proper divisors (915446187115104).

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

468016716301728 is a wasteful number, since it uses less digits than its factorization.

468016716301728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296698378 (or 14296698370 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 468016716301728 in words is "four hundred sixty-eight trillion, sixteen billion, seven hundred sixteen million, three hundred one thousand, seven hundred twenty-eight".