461301405256463 has 16 divisors (see below), whose sum is σ = 477372913184160. Its totient is φ = 445466556249600.

The previous prime is 461301405256429. The next prime is 461301405256553. The reversal of 461301405256463 is 364652504103164.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 461301405256463 - 2⁶ = 461301405256399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461301405256963) by changing a digit.

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, 39337118 + ... + 49699211.

It is an arithmetic number, because the mean of its divisors is an integer number (29835807074010).

Almost surely, 2^{461301405256463} is an apocalyptic number.

461301405256463 is a deficient number, since it is larger than the sum of its proper divisors (16071507927697).

461301405256463 is a wasteful number, since it uses less digits than its factorization.

461301405256463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89037658.

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 461301405256463 in words is "four hundred sixty-one trillion, three hundred one billion, four hundred five million, two hundred fifty-six thousand, four hundred sixty-three".