472149307584 has 112 divisors (see below), whose sum is σ = 1389471846400. Its totient is φ = 157219792128.

The previous prime is 472149307573. The next prime is 472149307601. The reversal of 472149307584 is 485703941274.

472149307584 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 493 + 0 + 75 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 472149307584.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1529697 + ... + 1812255.

Almost surely, 2^472149307584 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 472149307584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694735923200).

472149307584 is an abundant number, since it is smaller than the sum of its proper divisors (917322538816).

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

472149307584 is a wasteful number, since it uses less digits than its factorization.

472149307584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283547 (or 283531 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 472149307584 in words is "four hundred seventy-two billion, one hundred forty-nine million, three hundred seven thousand, five hundred eighty-four".