22009571742096 has 45 divisors (see below), whose sum is σ = 61596389582689. Its totient is φ = 7336505148288.

The previous prime is 22009571742029. The next prime is 22009571742101. The reversal of 22009571742096 is 69024717590022.

The square root of 22009571742096 is 4691436.

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

22009571742096 is a `hidden beast` number, since 2 + 20 + 0 + 9 + 571 + 7 + 42 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8502006272400 + 13507565469696 = 2915820^2 + 3675264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56101756 + ... + 56492708.

Almost surely, 2^{22009571742096} is an apocalyptic number.

22009571742096 is the 4691436-th square number.

It is an amenable number.

22009571742096 is an abundant number, since it is smaller than the sum of its proper divisors (39586817840593).

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

22009571742096 is an frugal number, since it uses more digits than its factorization.

22009571742096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781920 (or 390958 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 22009571742096 in words is "twenty-two trillion, nine billion, five hundred seventy-one million, seven hundred forty-two thousand, ninety-six".