21949965236241 has 27 divisors (see below), whose sum is σ = 36882079693641. Its totient is φ = 12542781056904.

The previous prime is 21949965236219. The next prime is 21949965236249. The reversal of 21949965236241 is 14263256994912.

The square root of 21949965236241 is 4685079.

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

21949965236241 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 9 + 9 + 6 + 523 + 62 + 41 = 666.

It is not a de Polignac number, because 21949965236241 - 2²⁹ = 21949428365329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21949965236249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98275110 + ... + 98498208.

Almost surely, 2^{21949965236241} is an apocalyptic number.

21949965236241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21949965236241 is the 4685079-th square number.

21949965236241 is the 2342540-th centered octagonal number.

It is an amenable number.

21949965236241 is a deficient number, since it is larger than the sum of its proper divisors (14932114457400).

21949965236241 is an frugal number, since it uses more digits than its factorization.

21949965236241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446218 (or 223109 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 21949965236241 in words is "twenty-one trillion, nine hundred forty-nine billion, nine hundred sixty-five million, two hundred thirty-six thousand, two hundred forty-one".