46004237821584 has 960 divisors, whose sum is σ = 157218682503168. Its totient is φ = 12281849856000.

The previous prime is 46004237821559. The next prime is 46004237821603. The reversal of 46004237821584 is 48512873240064.

46004237821584 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 4 + 2 + 37 + 8 + 21 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46004237821584.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77578815592 + ... + 77578816184.

Almost surely, 2^{46004237821584} 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 46004237821584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78609341251584).

46004237821584 is an abundant number, since it is smaller than the sum of its proper divisors (111214444681584).

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

46004237821584 is a wasteful number, since it uses less digits than its factorization.

46004237821584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 46004237821584 in words is "forty-six trillion, four billion, two hundred thirty-seven million, eight hundred twenty-one thousand, five hundred eighty-four".