32008425441552 has 400 divisors, whose sum is σ = 111510592230400. Its totient is φ = 8659117520640.

The previous prime is 32008425441539. The next prime is 32008425441607. The reversal of 32008425441552 is 25514452480023.

32008425441552 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 8 + 4 + 2 + 54 + 41 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32008425441498 and 32008425441507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 315555099 + ... + 315656517.

It is an arithmetic number, because the mean of its divisors is an integer number (278776480576).

Almost surely, 2^{32008425441552} 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 32008425441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755296115200).

32008425441552 is an abundant number, since it is smaller than the sum of its proper divisors (79502166788848).

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

32008425441552 is a wasteful number, since it uses less digits than its factorization.

32008425441552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103296 (or 103281 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 32008425441552 in words is "thirty-two trillion, eight billion, four hundred twenty-five million, four hundred forty-one thousand, five hundred fifty-two".