21889498401 has 45 divisors (see below), whose sum is σ = 34771709379. Its totient is φ = 13720383936.

The previous prime is 21889498339. The next prime is 21889498409. The reversal of 21889498401 is 10489498812.

It is a happy number.

The square root of 21889498401 is 147951.

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., 17041997025 + 4847501376 = 130545^2 + 69624^2 .

It is not a de Polignac number, because 21889498401 - 2¹⁹ = 21888974113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21889498409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22636020 + ... + 22636986.

Almost surely, 2^21889498401 is an apocalyptic number.

21889498401 is the 147951-st square number.

21889498401 is the 73976-th centered octagonal number.

It is an amenable number.

21889498401 is a deficient number, since it is larger than the sum of its proper divisors (12882210978).

21889498401 is an frugal number, since it uses more digits than its factorization.

21889498401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 21889498401 in words is "twenty-one billion, eight hundred eighty-nine million, four hundred ninety-eight thousand, four hundred one".