355330247012352 has 260 divisors, whose sum is σ = 1061556236191440. Its totient is φ = 118434279555072.

The previous prime is 355330247012339. The next prime is 355330247012383. The reversal of 355330247012352 is 253210742033553.

355330247012352 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 3 + 0 + 2 + 470 + 123 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 355330247012298 and 355330247012307.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5342555674 + ... + 5342622182.

Almost surely, 2^{355330247012352} is an apocalyptic number.

355330247012352 is a gapful number since it is divisible by the number (32) 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 355330247012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530778118095720).

355330247012352 is an abundant number, since it is smaller than the sum of its proper divisors (706225989179088).

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

355330247012352 is an equidigital number, since it uses as much as digits as its factorization.

355330247012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82648 (or 82617 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 355330247012352 in words is "three hundred fifty-five trillion, three hundred thirty billion, two hundred forty-seven million, twelve thousand, three hundred fifty-two".