22145002433541 has 96 divisors (see below), whose sum is σ = 37745585998848. Its totient is φ = 12381041756160.

The previous prime is 22145002433539. The next prime is 22145002433563. The reversal of 22145002433541 is 14533420054122.

It is a happy number.

22145002433541 is a `hidden beast` number, since 2 + 2 + 14 + 50 + 0 + 24 + 33 + 541 = 666.

It is not a de Polignac number, because 22145002433541 - 2¹ = 22145002433539 is a prime.

It is a super-2 number, since 2×22145002433541² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22145002433496 and 22145002433505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145002443541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24026290 + ... + 24930956.

It is an arithmetic number, because the mean of its divisors is an integer number (393183187488).

Almost surely, 2^{22145002433541} is an apocalyptic number.

It is an amenable number.

22145002433541 is a deficient number, since it is larger than the sum of its proper divisors (15600583565307).

22145002433541 is a wasteful number, since it uses less digits than its factorization.

22145002433541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905131 (or 905128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 22145002433541 its reverse (14533420054122), we get a palindrome (36678422487663).

The spelling of 22145002433541 in words is "twenty-two trillion, one hundred forty-five billion, two million, four hundred thirty-three thousand, five hundred forty-one".