205850949264 has 105 divisors (see below), whose sum is σ = 598123147449. Its totient is φ = 68600649600.

The previous prime is 205850949167. The next prime is 205850949323. The reversal of 205850949264 is 462949058502.

The square root of 205850949264 is 453708.

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

205850949264 is a `hidden beast` number, since 20 + 58 + 509 + 4 + 9 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11687339664 + 194163609600 = 108108^2 + 440640^2 .

It is a super-2 number, since 2×205850949264² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205850949264.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 48998364 + ... + 49002564.

Almost surely, 2^205850949264 is an apocalyptic number.

205850949264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

205850949264 is the 453708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205850949264

205850949264 is an abundant number, since it is smaller than the sum of its proper divisors (392272198185).

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

205850949264 is an frugal number, since it uses more digits than its factorization.

205850949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 205850949264 in words is "two hundred five billion, eight hundred fifty million, nine hundred forty-nine thousand, two hundred sixty-four".