214619092900 has 27 divisors (see below), whose sum is σ = 465733484769. Its totient is φ = 85845784080.

The previous prime is 214619092879. The next prime is 214619092973. The reversal of 214619092900 is 9290916412.

The square root of 214619092900 is 463270.

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., 77262873444 + 137356219456 = 277962^2 + 370616^2 .

It is a super-2 number, since 2×214619092900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4609537 + ... + 4655863.

Almost surely, 2^214619092900 is an apocalyptic number.

214619092900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214619092900 is the 463270-th square number.

It is an amenable number.

214619092900 is an abundant number, since it is smaller than the sum of its proper divisors (251114391869).

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

214619092900 is an frugal number, since it uses more digits than its factorization.

214619092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92668 (or 46334 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

It can be divided in two parts, 21461 and 9092900, that added together give a square (9114361 = 3019²).

The spelling of 214619092900 in words is "two hundred fourteen billion, six hundred nineteen million, ninety-two thousand, nine hundred".