460335245666144 has 144 divisors (see below), whose sum is σ = 972595442907648. Its totient is φ = 214065303648768.

The previous prime is 460335245666027. The next prime is 460335245666227. The reversal of 460335245666144 is 441666542533064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498123787 + ... + 1498431029.

It is an arithmetic number, because the mean of its divisors is an integer number (6754135020192).

Almost surely, 2^{460335245666144} 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 460335245666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486297721453824).

460335245666144 is an abundant number, since it is smaller than the sum of its proper divisors (512260197241504).

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

460335245666144 is a wasteful number, since it uses less digits than its factorization.

460335245666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308837 (or 308792 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 59.

The spelling of 460335245666144 in words is "four hundred sixty trillion, three hundred thirty-five billion, two hundred forty-five million, six hundred sixty-six thousand, one hundred forty-four".