29145609216 has 220 divisors, whose sum is σ = 89396182788. Its totient is φ = 9451634688.

The previous prime is 29145609187. The next prime is 29145609221. The reversal of 29145609216 is 61290654192.

29145609216 is a `hidden beast` number, since 2 + 9 + 14 + 5 + 609 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12941337600 + 16204271616 = 113760^2 + 127296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3064180 + ... + 3073676.

Almost surely, 2^29145609216 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 29145609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44698091394).

29145609216 is an abundant number, since it is smaller than the sum of its proper divisors (60250573572).

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

29145609216 is an equidigital number, since it uses as much as digits as its factorization.

29145609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 29145609216 in words is "twenty-nine billion, one hundred forty-five million, six hundred nine thousand, two hundred sixteen".