29314628568 has 128 divisors (see below), whose sum is σ = 82722124800. Its totient is φ = 9617332608.

The previous prime is 29314628533. The next prime is 29314628593. The reversal of 29314628568 is 86582641392.

29314628568 is a `hidden beast` number, since 2 + 9 + 3 + 1 + 4 + 628 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4963105 + ... + 4969007.

It is an arithmetic number, because the mean of its divisors is an integer number (646266600).

Almost surely, 2^29314628568 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 29314628568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41361062400).

29314628568 is an abundant number, since it is smaller than the sum of its proper divisors (53407496232).

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

29314628568 is a wasteful number, since it uses less digits than its factorization.

29314628568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6268 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 29314628568 in words is "twenty-nine billion, three hundred fourteen million, six hundred twenty-eight thousand, five hundred sixty-eight".