13820622345 has 48 divisors (see below), whose sum is σ = 25616187792. Its totient is φ = 6868684800.

The previous prime is 13820622341. The next prime is 13820622353. The reversal of 13820622345 is 54322602831.

13820622345 is a `hidden beast` number, since 1 + 3 + 8 + 20 + 622 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86657481 + 13733964864 = 9309^2 + 117192^2 .

It is not a de Polignac number, because 13820622345 - 2² = 13820622341 is a prime.

It is a super-2 number, since 2×13820622345² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13820622341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12172 + ... + 166701.

It is an arithmetic number, because the mean of its divisors is an integer number (533670579).

Almost surely, 2^13820622345 is an apocalyptic number.

13820622345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13820622345 is a deficient number, since it is larger than the sum of its proper divisors (11795565447).

13820622345 is a wasteful number, since it uses less digits than its factorization.

13820622345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179002 (or 178999 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13820622345 in words is "thirteen billion, eight hundred twenty million, six hundred twenty-two thousand, three hundred forty-five".