46560540096 has 336 divisors, whose sum is σ = 160896909600. Its totient is φ = 13163544576.

The previous prime is 46560540073. The next prime is 46560540101. The reversal of 46560540096 is 69004506564.

46560540096 is a `hidden beast` number, since 46 + 5 + 60 + 540 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8210350 + ... + 8216018.

It is an arithmetic number, because the mean of its divisors is an integer number (478859850).

Almost surely, 2^46560540096 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 46560540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80448454800).

46560540096 is an abundant number, since it is smaller than the sum of its proper divisors (114336369504).

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

46560540096 is a wasteful number, since it uses less digits than its factorization.

46560540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 46560540096 in words is "forty-six billion, five hundred sixty million, five hundred forty thousand, ninety-six".