461601633746505 has 64 divisors (see below), whose sum is σ = 863715582056448. Its totient is φ = 206107048143360.

The previous prime is 461601633746503. The next prime is 461601633746507. The reversal of 461601633746505 is 505647336106164.

It is an interprime number because it is at equal distance from previous prime (461601633746503) and next prime (461601633746507).

It is not a de Polignac number, because 461601633746505 - 2¹ = 461601633746503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461601633746503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279155317 + ... + 280804013.

It is an arithmetic number, because the mean of its divisors is an integer number (13495555969632).

Almost surely, 2^{461601633746505} is an apocalyptic number.

It is an amenable number.

461601633746505 is a deficient number, since it is larger than the sum of its proper divisors (402113948309943).

461601633746505 is a wasteful number, since it uses less digits than its factorization.

461601633746505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710766.

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 461601633746505 in words is "four hundred sixty-one trillion, six hundred one billion, six hundred thirty-three million, seven hundred forty-six thousand, five hundred five".