22754265141105 has 48 divisors (see below), whose sum is σ = 39701648946960. Its totient is φ = 12055512881664.

The previous prime is 22754265141103. The next prime is 22754265141119. The reversal of 22754265141105 is 50114156245722.

22754265141105 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 4 + 26 + 514 + 1 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4023269744481 + 18730995396624 = 2005809^2 + 4327932^2 .

It is not a de Polignac number, because 22754265141105 - 2¹ = 22754265141103 is a prime.

It is a super-2 number, since 2×22754265141105² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22754265141103) 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 47 ways as a sum of consecutive naturals, for example, 3823491 + ... + 7754199.

It is an arithmetic number, because the mean of its divisors is an integer number (827117686395).

Almost surely, 2^{22754265141105} is an apocalyptic number.

It is an amenable number.

22754265141105 is a deficient number, since it is larger than the sum of its proper divisors (16947383805855).

22754265141105 is a wasteful number, since it uses less digits than its factorization.

22754265141105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931570 (or 3931567 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 22754265141105 in words is "twenty-two trillion, seven hundred fifty-four billion, two hundred sixty-five million, one hundred forty-one thousand, one hundred five".