22261156656401 has 64 divisors (see below), whose sum is σ = 24886794240000. Its totient is φ = 19784940215040.

The previous prime is 22261156656391. The next prime is 22261156656443. The reversal of 22261156656401 is 10465665116222.

It is not a de Polignac number, because 22261156656401 - 2¹⁴ = 22261156640017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22261156656481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11113906466 + ... + 11113908468.

It is an arithmetic number, because the mean of its divisors is an integer number (388856160000).

Almost surely, 2^{22261156656401} is an apocalyptic number.

It is an amenable number.

22261156656401 is a deficient number, since it is larger than the sum of its proper divisors (2625637583599).

22261156656401 is a wasteful number, since it uses less digits than its factorization.

22261156656401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534.

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 22261156656401 in words is "twenty-two trillion, two hundred sixty-one billion, one hundred fifty-six million, six hundred fifty-six thousand, four hundred one".