46560116736 has 510 divisors, whose sum is σ = 162719403660. Its totient is φ = 13228572672.

The previous prime is 46560116717. The next prime is 46560116773. The reversal of 46560116736 is 63761106564.

46560116736 is a `hidden beast` number, since 4 + 6 + 5 + 601 + 1 + 6 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46560116691 and 46560116700.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 260112295 + ... + 260112473.

Almost surely, 2^46560116736 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 46560116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81359701830).

46560116736 is an abundant number, since it is smaller than the sum of its proper divisors (116159286924).

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

46560116736 is an frugal number, since it uses more digits than its factorization.

46560116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 46560116736 in words is "forty-six billion, five hundred sixty million, one hundred sixteen thousand, seven hundred thirty-six".