21884610253801 has 9 divisors (see below), whose sum is σ = 22405596542199. Its totient is φ = 21375469349136.

The previous prime is 21884610253763. The next prime is 21884610253813. The reversal of 21884610253801 is 10835201648812.

The square root of 21884610253801 is 4678099.

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., 13641831445225 + 8242778808576 = 3693485^2 + 2871024^2 .

It is not a de Polignac number, because 21884610253801 - 2⁴¹ = 19685586998249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21884610263801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201103861 + ... + 201212653.

It is an arithmetic number, because the mean of its divisors is an integer number (2489510726911).

Almost surely, 2^{21884610253801} is an apocalyptic number.

21884610253801 is the 4678099-th square number.

21884610253801 is the 2339050-th centered octagonal number.

It is an amenable number.

21884610253801 is a deficient number, since it is larger than the sum of its proper divisors (520986288398).

21884610253801 is an frugal number, since it uses more digits than its factorization.

21884610253801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217672 (or 108836 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 21884610253801 in words is "twenty-one trillion, eight hundred eighty-four billion, six hundred ten million, two hundred fifty-three thousand, eight hundred one".