214271922280900 has 81 divisors (see below), whose sum is σ = 511086646346983. Its totient is φ = 77916477126400.

The previous prime is 214271922280883. The next prime is 214271922280939. The reversal of 214271922280900 is 9082229172412.

It is a happy number.

The square root of 214271922280900 is 14638030.

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 3801696642436 + 210470225638464 = 1949794^2 + 14507592^2 .

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, 1610116764 + ... + 1610249836.

Almost surely, 2^{214271922280900} is an apocalyptic number.

214271922280900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214271922280900 is the 14638030-th square number.

It is an amenable number.

214271922280900 is an abundant number, since it is smaller than the sum of its proper divisors (296814724066083).

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

214271922280900 is an frugal number, since it uses more digits than its factorization.

214271922280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266182 (or 133091 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 214271922280900 in words is "two hundred fourteen trillion, two hundred seventy-one billion, nine hundred twenty-two million, two hundred eighty thousand, nine hundred".