47182233672 has 540 divisors, whose sum is σ = 163793990745. Its totient is φ = 12651230592.

The previous prime is 47182233643. The next prime is 47182233689. The reversal of 47182233672 is 27633228174.

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.

47182233672 is a `hidden beast` number, since 471 + 82 + 2 + 3 + 36 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44755094916 + 2427138756 = 211554^2 + 49266^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=153594.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 890230798 + ... + 890230850.

Almost surely, 2^47182233672 is an apocalyptic number.

47182233672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47182233672

47182233672 is an abundant number, since it is smaller than the sum of its proper divisors (116611757073).

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

47182233672 is a wasteful number, since it uses less digits than its factorization.

47182233672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 47182233672 in words is "forty-seven billion, one hundred eighty-two million, two hundred thirty-three thousand, six hundred seventy-two".