46284983712 has 288 divisors, whose sum is σ = 149788154880. Its totient is φ = 13942782720.

The previous prime is 46284983623. The next prime is 46284983813. The reversal of 46284983712 is 21738948264.

46284983712 is a `hidden beast` number, since 4 + 628 + 4 + 9 + 8 + 3 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 15309433 + ... + 15312455.

It is an arithmetic number, because the mean of its divisors is an integer number (520097760).

Almost surely, 2^46284983712 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 46284983712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74894077440).

46284983712 is an abundant number, since it is smaller than the sum of its proper divisors (103503171168).

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

46284983712 is a wasteful number, since it uses less digits than its factorization.

46284983712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3218 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 46284983712 in words is "forty-six billion, two hundred eighty-four million, nine hundred eighty-three thousand, seven hundred twelve".