352359161280 has 336 divisors, whose sum is σ = 1385836720320. Its totient is φ = 80496820224.

The previous prime is 352359161261. The next prime is 352359161291. The reversal of 352359161280 is 82161953253.

352359161280 is a `hidden beast` number, since 3 + 5 + 2 + 359 + 16 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 53965056 + ... + 53971584.

Almost surely, 2^352359161280 is an apocalyptic number.

352359161280 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 352359161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692918360160).

352359161280 is an abundant number, since it is smaller than the sum of its proper divisors (1033477559040).

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

352359161280 is a wasteful number, since it uses less digits than its factorization.

352359161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 352359161280 in words is "three hundred fifty-two billion, three hundred fifty-nine million, one hundred sixty-one thousand, two hundred eighty".