355995648 has 260 divisors, whose sum is σ = 1129866540. Its totient is φ = 111476736.

The previous prime is 355995631. The next prime is 355995659. The reversal of 355995648 is 846599553.

It is a happy number.

355995648 is a `hidden beast` number, since 3 + 5 + 599 + 5 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 95883264 = 16128^2 + 9792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 355995594 and 355995603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9621486 + ... + 9621522.

Almost surely, 2^355995648 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 355995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564933270).

355995648 is an abundant number, since it is smaller than the sum of its proper divisors (773870892).

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

355995648 is an equidigital number, since it uses as much as digits as its factorization.

355995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 355995648 is about 18867.8469359914. The cubic root of 355995648 is about 708.7312181132.

The spelling of 355995648 in words is "three hundred fifty-five million, nine hundred ninety-five thousand, six hundred forty-eight".