200658840468100 has 135 divisors (see below), whose sum is σ = 507988644196047. Its totient is φ = 68794936943040.

The previous prime is 200658840468083. The next prime is 200658840468131. The reversal of 200658840468100 is 1864048856002.

It is a happy number.

The square root of 200658840468100 is 14165410.

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 65514681444996 + 135144159023104 = 8094114^2 + 11625152^2 .

It is a super-2 number, since 2×200658840468100² (a number of 29 digits) contains 22 as substring.

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, 6941036446 + ... + 6941065354.

Almost surely, 2^{200658840468100} is an apocalyptic number.

200658840468100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200658840468100 is the 14165410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200658840468100

200658840468100 is an abundant number, since it is smaller than the sum of its proper divisors (307329803727947).

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

200658840468100 is an frugal number, since it uses more digits than its factorization.

200658840468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57860 (or 28923 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 200658840468100 in words is "two hundred trillion, six hundred fifty-eight billion, eight hundred forty million, four hundred sixty-eight thousand, one hundred".