468141940281744 has 135 divisors (see below), whose sum is σ = 1319108191296259. Its totient is φ = 154987207161600.

The previous prime is 468141940281733. The next prime is 468141940281803. The reversal of 468141940281744 is 447182049141864.

The square root of 468141940281744 is 21636588.

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

468141940281744 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 419 + 40 + 2 + 8 + 174 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49491056160144 + 418650884121600 = 7034988^2 + 20460960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38686213294 + ... + 38686225394.

Almost surely, 2^{468141940281744} is an apocalyptic number.

468141940281744 is the 21636588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468141940281744

468141940281744 is an abundant number, since it is smaller than the sum of its proper divisors (850966251014515).

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

468141940281744 is an frugal number, since it uses more digits than its factorization.

468141940281744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24514 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 468141940281744 in words is "four hundred sixty-eight trillion, one hundred forty-one billion, nine hundred forty million, two hundred eighty-one thousand, seven hundred forty-four".