472509251712 has 160 divisors (see below), whose sum is σ = 1413954441900. Its totient is φ = 156632279040.

The previous prime is 472509251653. The next prime is 472509251719. The reversal of 472509251712 is 217152905274.

472509251712 is a `hidden beast` number, since 4 + 72 + 50 + 9 + 2 + 517 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411270820416 + 61238431296 = 641304^2 + 247464^2 .

It is not an unprimeable number, because it can be changed into a prime (472509251719) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1750714 + ... + 2002502.

Almost surely, 2^472509251712 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 472509251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706977220950).

472509251712 is an abundant number, since it is smaller than the sum of its proper divisors (941445190188).

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

472509251712 is a wasteful number, since it uses less digits than its factorization.

472509251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251996 (or 251975 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 472509251712 in words is "four hundred seventy-two billion, five hundred nine million, two hundred fifty-one thousand, seven hundred twelve".