46675009935 has 48 divisors (see below), whose sum is σ = 83121467520. Its totient is φ = 24211353600.

The previous prime is 46675009933. The next prime is 46675009961. The reversal of 46675009935 is 53990057664.

46675009935 is a `hidden beast` number, since 46 + 6 + 7 + 500 + 9 + 93 + 5 = 666.

It is a Cunningham number, because it is equal to 216044²-1.

It is not a de Polignac number, because 46675009935 - 2¹ = 46675009933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46675009933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7990746 + ... + 7996584.

It is an arithmetic number, because the mean of its divisors is an integer number (1731697240).

Almost surely, 2^46675009935 is an apocalyptic number.

46675009935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46675009935 is a deficient number, since it is larger than the sum of its proper divisors (36446457585).

46675009935 is a wasteful number, since it uses less digits than its factorization.

46675009935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 46675009935 in words is "forty-six billion, six hundred seventy-five million, nine thousand, nine hundred thirty-five".