352145305233000 has 768 divisors, whose sum is σ = 1212326225510400. Its totient is φ = 92181658867200.

The previous prime is 352145305232993. The next prime is 352145305233079. The reversal of 352145305233000 is 332503541253.

352145305233000 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 45 + 305 + 2 + 3 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153976957857 + ... + 153976960143.

It is an arithmetic number, because the mean of its divisors is an integer number (1578549772800).

Almost surely, 2^{352145305233000} is an apocalyptic number.

352145305233000 is a gapful number since it is divisible by the number (30) 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 352145305233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606163112755200).

352145305233000 is an abundant number, since it is smaller than the sum of its proper divisors (860180920277400).

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

352145305233000 is a wasteful number, since it uses less digits than its factorization.

352145305233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 352145305233000 its reverse (332503541253), we get a palindrome (352477808774253).

The spelling of 352145305233000 in words is "three hundred fifty-two trillion, one hundred forty-five billion, three hundred five million, two hundred thirty-three thousand".