355555164160 has 360 divisors, whose sum is σ = 1003592656584. Its totient is φ = 120560025600.

The previous prime is 355555164149. The next prime is 355555164233. The reversal of 355555164160 is 61461555553.

It can be written as a sum of positive squares in 4 ways, for example, as 184198905856 + 171356258304 = 429184^2 + 413952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 355555164160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405421642 + ... + 405422518.

Almost surely, 2^355555164160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355555164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501796328292).

355555164160 is an abundant number, since it is smaller than the sum of its proper divisors (648037492424).

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

355555164160 is an equidigital number, since it uses as much as digits as its factorization.

355555164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 46.

The spelling of 355555164160 in words is "three hundred fifty-five billion, five hundred fifty-five million, one hundred sixty-four thousand, one hundred sixty".