357352216056 has 192 divisors, whose sum is σ = 1102251421440. Its totient is φ = 103530240000.

The previous prime is 357352216051. The next prime is 357352216057. The reversal of 357352216056 is 650612253753.

357352216056 is a `hidden beast` number, since 3 + 5 + 7 + 35 + 2 + 2 + 1 + 605 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357352216051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55391631 + ... + 55398081.

It is an arithmetic number, because the mean of its divisors is an integer number (5740892820).

Almost surely, 2^357352216056 is an apocalyptic number.

357352216056 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 357352216056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551125710720).

357352216056 is an abundant number, since it is smaller than the sum of its proper divisors (744899205384).

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

357352216056 is a wasteful number, since it uses less digits than its factorization.

357352216056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 357352216056 in words is "three hundred fifty-seven billion, three hundred fifty-two million, two hundred sixteen thousand, fifty-six".