352583682048 has 288 divisors, whose sum is σ = 1126326965400. Its totient is φ = 105552543744.

The previous prime is 352583682023. The next prime is 352583682067. The reversal of 352583682048 is 840286385253.

It is a happy number.

352583682048 is a `hidden beast` number, since 3 + 5 + 258 + 368 + 20 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251795211264 + 100788470784 = 501792^2 + 317472^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×352583682048⁴ (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352583681985 and 352583682003.

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, 8845908 + ... + 8885676.

Almost surely, 2^352583682048 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 352583682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563163482700).

352583682048 is an abundant number, since it is smaller than the sum of its proper divisors (773743283352).

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

352583682048 is a wasteful number, since it uses less digits than its factorization.

352583682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39847 (or 39824 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 352583682048 in words is "three hundred fifty-two billion, five hundred eighty-three million, six hundred eighty-two thousand, forty-eight".