461126601617 has 16 divisors (see below), whose sum is σ = 530116064640. Its totient is φ = 397009536000.

The previous prime is 461126601589. The next prime is 461126601623. The reversal of 461126601617 is 716106621164.

It is not a de Polignac number, because 461126601617 - 2¹⁸ = 461126339473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461126601647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8997392 + ... + 9048497.

It is an arithmetic number, because the mean of its divisors is an integer number (33132254040).

Almost surely, 2^461126601617 is an apocalyptic number.

It is an amenable number.

461126601617 is a deficient number, since it is larger than the sum of its proper divisors (68989463023).

461126601617 is a wasteful number, since it uses less digits than its factorization.

461126601617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18046024.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 461126601617 in words is "four hundred sixty-one billion, one hundred twenty-six million, six hundred one thousand, six hundred seventeen".