46550821824 has 336 divisors, whose sum is σ = 149912966112. Its totient is φ = 14237171712.

The previous prime is 46550821819. The next prime is 46550821831. The reversal of 46550821824 is 42812805564.

46550821824 is a `hidden beast` number, since 4 + 6 + 550 + 82 + 18 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46550821824.

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 47 ways as a sum of consecutive naturals, for example, 39019372 + ... + 39020564.

It is an arithmetic number, because the mean of its divisors is an integer number (446169542).

Almost surely, 2^46550821824 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 46550821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74956483056).

46550821824 is an abundant number, since it is smaller than the sum of its proper divisors (103362144288).

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

46550821824 is a wasteful number, since it uses less digits than its factorization.

46550821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 46550821824 in words is "forty-six billion, five hundred fifty million, eight hundred twenty-one thousand, eight hundred twenty-four".