352875115008 has 480 divisors, whose sum is σ = 1140686902080. Its totient is φ = 107654676480.

The previous prime is 352875115007. The next prime is 352875115009. The reversal of 352875115008 is 800511578253.

352875115008 is a `hidden beast` number, since 3 + 5 + 2 + 87 + 511 + 50 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (352875115007) and next prime (352875115009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352875115003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 306048960 + ... + 306050112.

It is an arithmetic number, because the mean of its divisors is an integer number (2376431046).

Almost surely, 2^352875115008 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 352875115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570343451040).

352875115008 is an abundant number, since it is smaller than the sum of its proper divisors (787811787072).

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

352875115008 is a wasteful number, since it uses less digits than its factorization.

352875115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 352875115008 in words is "three hundred fifty-two billion, eight hundred seventy-five million, one hundred fifteen thousand, eight".