29016408138912 has 72 divisors (see below), whose sum is σ = 82663553670516. Its totient is φ = 9654771296256.

The previous prime is 29016408138871. The next prime is 29016408138917. The reversal of 29016408138912 is 21983180461092.

It is a happy number.

29016408138912 is a `hidden beast` number, since 2 + 9 + 0 + 16 + 408 + 138 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25672908120336 + 3343500018576 = 5066844^2 + 1828524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (29016408138917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90280713 + ... + 90601544.

Almost surely, 2^{29016408138912} is an apocalyptic number.

It is an amenable number.

29016408138912 is an abundant number, since it is smaller than the sum of its proper divisors (53647145531604).

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

29016408138912 is a wasteful number, since it uses less digits than its factorization.

29016408138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180882830 (or 180882819 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29016408138912 in words is "twenty-nine trillion, sixteen billion, four hundred eight million, one hundred thirty-eight thousand, nine hundred twelve".