29941093613376 has 672 divisors, whose sum is σ = 100981965168000. Its totient is φ = 8684618342400.

The previous prime is 29941093613371. The next prime is 29941093613399. The reversal of 29941093613376 is 67331639014992.

29941093613376 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 1 + 0 + 9 + 3 + 613 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×29941093613376² (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 (29941093613371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454315275 + ... + 454381173.

It is an arithmetic number, because the mean of its divisors is an integer number (150270781500).

Almost surely, 2^{29941093613376} 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 29941093613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50490982584000).

29941093613376 is an abundant number, since it is smaller than the sum of its proper divisors (71040871554624).

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

29941093613376 is a wasteful number, since it uses less digits than its factorization.

29941093613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66036 (or 66009 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 29941093613376 in words is "twenty-nine trillion, nine hundred forty-one billion, ninety-three million, six hundred thirteen thousand, three hundred seventy-six".