22229348469601 has 81 divisors (see below), whose sum is σ = 28251039086361. Its totient is φ = 17432241188544.

The previous prime is 22229348469553. The next prime is 22229348469607. The reversal of 22229348469601 is 10696484392222.

It is a happy number.

The square root of 22229348469601 is 4714801.

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 1383914607201 + 20845433862400 = 1176399^2 + 4565680^2 .

It is not a de Polignac number, because 22229348469601 - 2¹⁹ = 22229347945313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22229348469607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84522237396 + ... + 84522237658.

Almost surely, 2^{22229348469601} is an apocalyptic number.

22229348469601 is the 4714801-st square number.

22229348469601 is the 2357401-st centered octagonal number.

It is an amenable number.

22229348469601 is a deficient number, since it is larger than the sum of its proper divisors (6021690616760).

22229348469601 is an frugal number, since it uses more digits than its factorization.

22229348469601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 22229348469601 in words is "twenty-two trillion, two hundred twenty-nine billion, three hundred forty-eight million, four hundred sixty-nine thousand, six hundred one".