29814345216 has 400 divisors, whose sum is σ = 94659335760. Its totient is φ = 9316270080.

The previous prime is 29814345203. The next prime is 29814345233. The reversal of 29814345216 is 61254341892.

29814345216 is a `hidden beast` number, since 2 + 9 + 81 + 43 + 4 + 521 + 6 = 666.

It is a super-3 number, since 3×29814345216³ (a number of 32 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123710856 + ... + 123711096.

Almost surely, 2^29814345216 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 29814345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47329667880).

29814345216 is an abundant number, since it is smaller than the sum of its proper divisors (64844990544).

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

29814345216 is a wasteful number, since it uses less digits than its factorization.

29814345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 29814345216 in words is "twenty-nine billion, eight hundred fourteen million, three hundred forty-five thousand, two hundred sixteen".