2205058683136 has 27 divisors (see below), whose sum is σ = 4401551281701. Its totient is φ = 1102517462016.

The previous prime is 2205058683131. The next prime is 2205058683167. The reversal of 2205058683136 is 6313868505022.

The square root of 2205058683136 is 1484944.

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

It can be written as a sum of positive squares in only one way, i.e., 1946181243136 + 258877440000 = 1395056^2 + 508800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2205058683136.

It is not an unprimeable number, because it can be changed into a prime (2205058683131) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23712700 + ... + 23805508.

Almost surely, 2^{2205058683136} is an apocalyptic number.

2205058683136 is the 1484944-th square number.

It is an amenable number.

2205058683136 is a deficient number, since it is larger than the sum of its proper divisors (2196492598565).

2205058683136 is an frugal number, since it uses more digits than its factorization.

2205058683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185634 (or 92811 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 2205058683136 by its sum of digits (49), we get a square (108047875473664 = 10394608²).

The spelling of 2205058683136 in words is "two trillion, two hundred five billion, fifty-eight million, six hundred eighty-three thousand, one hundred thirty-six".