46543565804736 has 1792 divisors, whose sum is σ = 176821843968000. Its totient is φ = 10404893491200.

The previous prime is 46543565804683. The next prime is 46543565804737. The reversal of 46543565804736 is 63740856534564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (46543565804737) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 71276516986 + ... + 71276517638.

It is an arithmetic number, because the mean of its divisors is an integer number (98672904000).

Almost surely, 2^{46543565804736} 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 46543565804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88410921984000).

46543565804736 is an abundant number, since it is smaller than the sum of its proper divisors (130278278163264).

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

46543565804736 is a wasteful number, since it uses less digits than its factorization.

46543565804736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 66.

The spelling of 46543565804736 in words is "forty-six trillion, five hundred forty-three billion, five hundred sixty-five million, eight hundred four thousand, seven hundred thirty-six".