29418620868 has 144 divisors (see below), whose sum is σ = 92246568960. Its totient is φ = 7697555712.

The previous prime is 29418620851. The next prime is 29418620929. The reversal of 29418620868 is 86802681492.

29418620868 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 8 + 620 + 8 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380698 + ... + 451406.

Almost surely, 2^29418620868 is an apocalyptic number.

29418620868 is a gapful number since it is divisible by the number (28) 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 29418620868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46123284480).

29418620868 is an abundant number, since it is smaller than the sum of its proper divisors (62827948092).

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

29418620868 is a wasteful number, since it uses less digits than its factorization.

29418620868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70866 (or 70861 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 29418620868 in words is "twenty-nine billion, four hundred eighteen million, six hundred twenty thousand, eight hundred sixty-eight".