29238336864 has 144 divisors (see below), whose sum is σ = 90982592064. Its totient is φ = 8833017600.

The previous prime is 29238336863. The next prime is 29238336917. The reversal of 29238336864 is 46863383292.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29238336864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29238336863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034667 + ... + 1062549.

It is an arithmetic number, because the mean of its divisors is an integer number (631823556).

Almost surely, 2^29238336864 is an apocalyptic number.

29238336864 is a gapful number since it is divisible by the number (24) 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 29238336864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45491296032).

29238336864 is an abundant number, since it is smaller than the sum of its proper divisors (61744255200).

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

29238336864 is a wasteful number, since it uses less digits than its factorization.

29238336864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28241 (or 28230 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 29238336864 in words is "twenty-nine billion, two hundred thirty-eight million, three hundred thirty-six thousand, eight hundred sixty-four".