461135616350013 has 72 divisors (see below), whose sum is σ = 744213925072800. Its totient is φ = 274869135921600.

The previous prime is 461135616349979. The next prime is 461135616350021. The reversal of 461135616350013 is 310053616531164.

461135616350013 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 3 + 5 + 6 + 1 + 635 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 461135616350013 - 2⁸ = 461135616349757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461135616330013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730602838 + ... + 731233736.

It is an arithmetic number, because the mean of its divisors is an integer number (10336304514900).

Almost surely, 2^{461135616350013} is an apocalyptic number.

It is an amenable number.

461135616350013 is a deficient number, since it is larger than the sum of its proper divisors (283078308722787).

461135616350013 is a wasteful number, since it uses less digits than its factorization.

461135616350013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641991 (or 641977 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 461135616350013 in words is "four hundred sixty-one trillion, one hundred thirty-five billion, six hundred sixteen million, three hundred fifty thousand, thirteen".