47232339628032 has 312 divisors, whose sum is σ = 155569917530664. Its totient is φ = 13678141243392.

The previous prime is 47232339628009. The next prime is 47232339628087. The reversal of 47232339628032 is 23082693323274.

47232339628032 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 2 + 3 + 3 + 9 + 628 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5520169046016 + 41712170582016 = 2349504^2 + 6458496^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a self number, because there is not a number n which added to its sum of digits gives 47232339628032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5248168 + ... + 11045720.

It is an arithmetic number, because the mean of its divisors is an integer number (498621530547).

Almost surely, 2^{47232339628032} 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 47232339628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77784958765332).

47232339628032 is an abundant number, since it is smaller than the sum of its proper divisors (108337577902632).

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

47232339628032 is a wasteful number, since it uses less digits than its factorization.

47232339628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797613 (or 5797588 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 47232339628032 in words is "forty-seven trillion, two hundred thirty-two billion, three hundred thirty-nine million, six hundred twenty-eight thousand, thirty-two".