46066283712 has 672 divisors, whose sum is σ = 153373409280. Its totient is φ = 13649679360.

The previous prime is 46066283699. The next prime is 46066283741. The reversal of 46066283712 is 21738266064.

46066283712 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 628 + 3 + 7 + 12 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 430525963 + ... + 430526069.

It is an arithmetic number, because the mean of its divisors is an integer number (228234240).

Almost surely, 2^46066283712 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 46066283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

46066283712 is an abundant number, since it is smaller than the sum of its proper divisors (107307125568).

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

46066283712 is a wasteful number, since it uses less digits than its factorization.

46066283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46066283712 in words is "forty-six billion, sixty-six million, two hundred eighty-three thousand, seven hundred twelve".