355750216704 has 495 divisors, whose sum is σ = 1131575645277. Its totient is φ = 111311511552.

The previous prime is 355750216699. The next prime is 355750216739. The reversal of 355750216704 is 407612057553.

It is a happy number.

The square root of 355750216704 is 596448.

It is a perfect power (a square), and thus also a powerful number.

355750216704 is a `hidden beast` number, since 3 + 5 + 575 + 0 + 2 + 1 + 6 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247956194304 + 107794022400 = 497952^2 + 328320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 355750216704.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3263763402 + ... + 3263763510.

Almost surely, 2^355750216704 is an apocalyptic number.

355750216704 is the 596448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355750216704

355750216704 is an abundant number, since it is smaller than the sum of its proper divisors (775825428573).

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

355750216704 is an equidigital number, since it uses as much as digits as its factorization.

355750216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 355750216704 in words is "three hundred fifty-five billion, seven hundred fifty million, two hundred sixteen thousand, seven hundred four".