352353305325150 has 384 divisors, whose sum is σ = 1009929594654720. Its totient is φ = 90234585792000.

The previous prime is 352353305325139. The next prime is 352353305325173. The reversal of 352353305325150 is 51523503353253.

352353305325150 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 5 + 3 + 305 + 325 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 352353305325096 and 352353305325105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5170910080 + ... + 5170978220.

It is an arithmetic number, because the mean of its divisors is an integer number (2630024986080).

Almost surely, 2^{352353305325150} is an apocalyptic number.

352353305325150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352353305325150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504964797327360).

352353305325150 is an abundant number, since it is smaller than the sum of its proper divisors (657576289329570).

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

352353305325150 is a wasteful number, since it uses less digits than its factorization.

352353305325150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69137 (or 69126 counting only the distinct ones).

The product of its (nonzero) digits is 3037500, while the sum is 45.

The spelling of 352353305325150 in words is "three hundred fifty-two trillion, three hundred fifty-three billion, three hundred five million, three hundred twenty-five thousand, one hundred fifty".