229132138464 has 144 divisors (see below), whose sum is σ = 663309803520. Its totient is φ = 75014334720.

The previous prime is 229132138423. The next prime is 229132138471. The reversal of 229132138464 is 464831231922.

229132138464 is a `hidden beast` number, since 2 + 29 + 1 + 32 + 138 + 464 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4319269 + ... + 4371995.

It is an arithmetic number, because the mean of its divisors is an integer number (4606318080).

Almost surely, 2^229132138464 is an apocalyptic number.

229132138464 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 229132138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331654901760).

229132138464 is an abundant number, since it is smaller than the sum of its proper divisors (434177665056).

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

229132138464 is a wasteful number, since it uses less digits than its factorization.

229132138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53013 (or 53002 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 229132138464 in words is "two hundred twenty-nine billion, one hundred thirty-two million, one hundred thirty-eight thousand, four hundred sixty-four".