46004828544 has 192 divisors, whose sum is σ = 134722713840. Its totient is φ = 15065284608.

The previous prime is 46004828543. The next prime is 46004828591. The reversal of 46004828544 is 44582840064.

46004828544 is a `hidden beast` number, since 4 + 60 + 0 + 48 + 2 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 46004828544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46004828543) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44534652 + ... + 44535684.

Almost surely, 2^46004828544 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 46004828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67361356920).

46004828544 is an abundant number, since it is smaller than the sum of its proper divisors (88717885296).

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

46004828544 is a wasteful number, since it uses less digits than its factorization.

46004828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 46004828544 in words is "forty-six billion, four million, eight hundred twenty-eight thousand, five hundred forty-four".