214041874228900 has 81 divisors (see below), whose sum is σ = 477375484156137. Its totient is φ = 83300676739200.

The previous prime is 214041874228877. The next prime is 214041874228927. The reversal of 214041874228900 is 9822478140412.

It is a happy number.

The square root of 214041874228900 is 14630170.

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

It can be written as a sum of positive squares in 13 ways, for example, as 182884132653156 + 31157741575744 = 13523466^2 + 5581912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5413143130 + ... + 5413182670.

Almost surely, 2^{214041874228900} is an apocalyptic number.

214041874228900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214041874228900 is the 14630170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041874228900

214041874228900 is an abundant number, since it is smaller than the sum of its proper divisors (263333609927237).

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

214041874228900 is an frugal number, since it uses more digits than its factorization.

214041874228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79170 (or 39585 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 214041874228900 in words is "two hundred fourteen trillion, forty-one billion, eight hundred seventy-four million, two hundred twenty-eight thousand, nine hundred".