46543814016 has 256 divisors, whose sum is σ = 149741222400. Its totient is φ = 12525649920.

The previous prime is 46543813993. The next prime is 46543814101. The reversal of 46543814016 is 61041834564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3188751 + ... + 3203313.

It is an arithmetic number, because the mean of its divisors is an integer number (584926650).

Almost surely, 2^46543814016 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 46543814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74870611200).

46543814016 is an abundant number, since it is smaller than the sum of its proper divisors (103197408384).

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

46543814016 is a wasteful number, since it uses less digits than its factorization.

46543814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14657 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 46543814016 in words is "forty-six billion, five hundred forty-three million, eight hundred fourteen thousand, sixteen".