29317140216 has 512 divisors, whose sum is σ = 104160000000. Its totient is φ = 7589998080.

The previous prime is 29317140197. The next prime is 29317140283. The reversal of 29317140216 is 61204171392.

29317140216 is a `hidden beast` number, since 293 + 17 + 140 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58751535 + ... + 58752033.

It is an arithmetic number, because the mean of its divisors is an integer number (203437500).

Almost surely, 2^29317140216 is an apocalyptic number.

29317140216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29317140216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080000000).

29317140216 is an abundant number, since it is smaller than the sum of its proper divisors (74842859784).

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

29317140216 is a wasteful number, since it uses less digits than its factorization.

29317140216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 29317140216 in words is "twenty-nine billion, three hundred seventeen million, one hundred forty thousand, two hundred sixteen".