358922008201 has 9 divisors (see below), whose sum is σ = 361643699221. Its totient is φ = 356220661792.

The previous prime is 358922008189. The next prime is 358922008283. The reversal of 358922008201 is 102800229853.

The square root of 358922008201 is 599101.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9428215801 + 349493792400 = 97099^2 + 591180^2 .

It is not a de Polignac number, because 358922008201 - 2¹³ = 358922000009 is a prime.

It is a super-2 number, since 2×358922008201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (358922008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82074651 + ... + 82079023.

Almost surely, 2^358922008201 is an apocalyptic number.

358922008201 is the 599101-st square number.

358922008201 is the 299551-st centered octagonal number.

It is an amenable number.

358922008201 is a deficient number, since it is larger than the sum of its proper divisors (2721691020).

358922008201 is an frugal number, since it uses more digits than its factorization.

358922008201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 358922008201 in words is "three hundred fifty-eight billion, nine hundred twenty-two million, eight thousand, two hundred one".