29140445268 has 144 divisors (see below), whose sum is σ = 81983603520. Its totient is φ = 8652672000.

The previous prime is 29140445267. The next prime is 29140445303. The reversal of 29140445268 is 86254404192.

It is a happy number.

29140445268 is a `hidden beast` number, since 2 + 9 + 140 + 445 + 2 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29140445261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7871818 + ... + 7875518.

It is an arithmetic number, because the mean of its divisors is an integer number (569330580).

Almost surely, 2^29140445268 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 29140445268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40991801760).

29140445268 is an abundant number, since it is smaller than the sum of its proper divisors (52843158252).

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

29140445268 is a wasteful number, since it uses less digits than its factorization.

29140445268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 29140445268 in words is "twenty-nine billion, one hundred forty million, four hundred forty-five thousand, two hundred sixty-eight".