352379133216 has 384 divisors, whose sum is σ = 1141043742720. Its totient is φ = 104901350400.

The previous prime is 352379133181. The next prime is 352379133221. The reversal of 352379133216 is 612331973253.

352379133216 is a `hidden beast` number, since 3 + 5 + 237 + 91 + 3 + 321 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401800170 + ... + 401801046.

It is an arithmetic number, because the mean of its divisors is an integer number (2971468080).

Almost surely, 2^352379133216 is an apocalyptic number.

352379133216 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 352379133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570521871360).

352379133216 is an abundant number, since it is smaller than the sum of its proper divisors (788664609504).

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

352379133216 is a wasteful number, since it uses less digits than its factorization.

352379133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1591 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The spelling of 352379133216 in words is "three hundred fifty-two billion, three hundred seventy-nine million, one hundred thirty-three thousand, two hundred sixteen".