29585144061 has 24 divisors (see below), whose sum is σ = 47142838080. Its totient is φ = 17728920000.

The previous prime is 29585144041. The next prime is 29585144089. The reversal of 29585144061 is 16044158592.

29585144061 is a `hidden beast` number, since 2 + 9 + 585 + 1 + 4 + 4 + 0 + 61 = 666.

It is not a de Polignac number, because 29585144061 - 2¹³ = 29585135869 is a prime.

It is a super-2 number, since 2×29585144061² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29585143998 and 29585144016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29585144041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670065 + ... + 1687686.

It is an arithmetic number, because the mean of its divisors is an integer number (1964284920).

Almost surely, 2^29585144061 is an apocalyptic number.

It is an amenable number.

29585144061 is a deficient number, since it is larger than the sum of its proper divisors (17557694019).

29585144061 is a wasteful number, since it uses less digits than its factorization.

29585144061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357857 (or 3357854 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 29585144061 in words is "twenty-nine billion, five hundred eighty-five million, one hundred forty-four thousand, sixty-one".