29144118208293 has 24 divisors (see below), whose sum is σ = 45924239028096. Its totient is φ = 17663035032000.

The previous prime is 29144118208277. The next prime is 29144118208297. The reversal of 29144118208293 is 39280281144192.

29144118208293 is a `hidden beast` number, since 2 + 9 + 1 + 441 + 18 + 20 + 82 + 93 = 666.

It is not a de Polignac number, because 29144118208293 - 2⁴ = 29144118208277 is a prime.

It is a super-2 number, since 2×29144118208293² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29144118208297) 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, 42128593 + ... + 42814793.

It is an arithmetic number, because the mean of its divisors is an integer number (1913509959504).

Almost surely, 2^{29144118208293} is an apocalyptic number.

It is an amenable number.

29144118208293 is a deficient number, since it is larger than the sum of its proper divisors (16780120819803).

29144118208293 is a wasteful number, since it uses less digits than its factorization.

29144118208293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115225 (or 1115222 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29144118208293 in words is "twenty-nine trillion, one hundred forty-four billion, one hundred eighteen million, two hundred eight thousand, two hundred ninety-three".