29805386774112 has 720 divisors, whose sum is σ = 96538012900560. Its totient is φ = 9008537223168.

The previous prime is 29805386774089. The next prime is 29805386774143. The reversal of 29805386774112 is 21147768350892.

29805386774112 is a `hidden beast` number, since 2 + 9 + 80 + 538 + 6 + 7 + 7 + 4 + 1 + 12 = 666.

It is a super-2 number, since 2×29805386774112² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29805386774112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12230358558 + ... + 12230360994.

It is an arithmetic number, because the mean of its divisors is an integer number (134080573473).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29805386774112 = 59610773548224, but 3⋅29805386774112 = 89416160322336 is not.

Almost surely, 2^{29805386774112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29805386774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48269006450280).

29805386774112 is an abundant number, since it is smaller than the sum of its proper divisors (66732626126448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29805386774112 is a wasteful number, since it uses less digits than its factorization.

29805386774112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 29805386774112 in words is "twenty-nine trillion, eight hundred five billion, three hundred eighty-six million, seven hundred seventy-four thousand, one hundred twelve".