827474228352 has 72 divisors (see below), whose sum is σ = 2381232135945. Its totient is φ = 275814451200.

The previous prime is 827474228299. The next prime is 827474228381. The reversal of 827474228352 is 253822474728.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

827474228352 is a `hidden beast` number, since 8 + 27 + 47 + 4 + 228 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 800910444096 + 26563784256 = 894936^2 + 162984^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=643224.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30861352 + ... + 30888152.

Almost surely, 2^827474228352 is an apocalyptic number.

It is an amenable number.

827474228352 is an abundant number, since it is smaller than the sum of its proper divisors (1553757907593).

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

827474228352 is an frugal number, since it uses more digits than its factorization.

827474228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53622 (or 26806 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 827474228352 in words is "eight hundred twenty-seven billion, four hundred seventy-four million, two hundred twenty-eight thousand, three hundred fifty-two".