46618970112 has 576 divisors, whose sum is σ = 165275510400. Its totient is φ = 12457082880.

The previous prime is 46618970059. The next prime is 46618970129. The reversal of 46618970112 is 21107981664.

46618970112 is a `hidden beast` number, since 466 + 1 + 8 + 9 + 70 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60622464 + ... + 60623232.

It is an arithmetic number, because the mean of its divisors is an integer number (286936650).

Almost surely, 2^46618970112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46618970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82637755200).

46618970112 is an abundant number, since it is smaller than the sum of its proper divisors (118656540288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46618970112 is a wasteful number, since it uses less digits than its factorization.

46618970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 46618970112 in words is "forty-six billion, six hundred eighteen million, nine hundred seventy thousand, one hundred twelve".