352524213144 has 192 divisors, whose sum is σ = 988461714240. Its totient is φ = 113445196800.

The previous prime is 352524213127. The next prime is 352524213199. The reversal of 352524213144 is 441312425253.

It is a happy number.

352524213144 is a `hidden beast` number, since 352 + 52 + 4 + 213 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352524213099 and 352524213108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64361734 + ... + 64367210.

It is an arithmetic number, because the mean of its divisors is an integer number (5148238095).

Almost surely, 2^352524213144 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 352524213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494230857120).

352524213144 is an abundant number, since it is smaller than the sum of its proper divisors (635937501096).

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

352524213144 is a wasteful number, since it uses less digits than its factorization.

352524213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5803 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 352524213144 its reverse (441312425253), we get a palindrome (793836638397).

The spelling of 352524213144 in words is "three hundred fifty-two billion, five hundred twenty-four million, two hundred thirteen thousand, one hundred forty-four".