352288943136 has 576 divisors, whose sum is σ = 1198939262976. Its totient is φ = 97077657600.

The previous prime is 352288943131. The next prime is 352288943143. The reversal of 352288943136 is 631349882253.

352288943136 is a `hidden beast` number, since 3 + 522 + 8 + 89 + 4 + 3 + 1 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (352288943131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120356905 + ... + 120359831.

It is an arithmetic number, because the mean of its divisors is an integer number (2081491776).

Almost surely, 2^352288943136 is an apocalyptic number.

352288943136 is a gapful number since it is divisible by the number (36) 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 352288943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599469631488).

352288943136 is an abundant number, since it is smaller than the sum of its proper divisors (846650319840).

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

352288943136 is a wasteful number, since it uses less digits than its factorization.

352288943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3054 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 352288943136 in words is "three hundred fifty-two billion, two hundred eighty-eight million, nine hundred forty-three thousand, one hundred thirty-six".