46781322336 has 288 divisors, whose sum is σ = 160907251680. Its totient is φ = 13182124032.

The previous prime is 46781322311. The next prime is 46781322337. The reversal of 46781322336 is 63322318764.

46781322336 is a `hidden beast` number, since 467 + 8 + 132 + 23 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46781322291 and 46781322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46781322337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082960 + ... + 3098096.

It is an arithmetic number, because the mean of its divisors is an integer number (558705735).

Almost surely, 2^46781322336 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 46781322336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80453625840).

46781322336 is an abundant number, since it is smaller than the sum of its proper divisors (114125929344).

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

46781322336 is a wasteful number, since it uses less digits than its factorization.

46781322336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15243 (or 15222 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 46781322336 in words is "forty-six billion, seven hundred eighty-one million, three hundred twenty-two thousand, three hundred thirty-six".