29238164864 has 64 divisors (see below), whose sum is σ = 60951417840. Its totient is φ = 13955475456.

The previous prime is 29238164863. The next prime is 29238164897. The reversal of 29238164864 is 46846183292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29238164864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29238164863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192767 + ... + 309249.

Almost surely, 2^29238164864 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 29238164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30475708920).

29238164864 is an abundant number, since it is smaller than the sum of its proper divisors (31713252976).

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

29238164864 is a wasteful number, since it uses less digits than its factorization.

29238164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116587 (or 116575 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The spelling of 29238164864 in words is "twenty-nine billion, two hundred thirty-eight million, one hundred sixty-four thousand, eight hundred sixty-four".