461457613277744 has 80 divisors (see below), whose sum is σ = 946522226200320. Its totient is φ = 217566923347200.

The previous prime is 461457613277719. The next prime is 461457613277911. The reversal of 461457613277744 is 447772316754164.

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 15 ways as a sum of consecutive naturals, for example, 173198069 + ... + 175842219.

It is an arithmetic number, because the mean of its divisors is an integer number (11831527827504).

Almost surely, 2^{461457613277744} 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 461457613277744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473261113100160).

461457613277744 is an abundant number, since it is smaller than the sum of its proper divisors (485064612922576).

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

461457613277744 is a wasteful number, since it uses less digits than its factorization.

461457613277744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652978 (or 2652972 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 68.

The spelling of 461457613277744 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred thirteen million, two hundred seventy-seven thousand, seven hundred forty-four".