234020132646300 has 2592 divisors, whose sum is σ = 1027307777094144. Its totient is φ = 43233315840000.

The previous prime is 234020132646233. The next prime is 234020132646301. The reversal of 234020132646300 is 3646231020432.

234020132646300 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 2 + 0 + 1 + 3 + 2 + 646 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234020132646301) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 43766620227 + ... + 43766625573.

Almost surely, 2^{234020132646300} is an apocalyptic number.

234020132646300 is a gapful number since it is divisible by the number (20) 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 234020132646300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513653888547072).

234020132646300 is an abundant number, since it is smaller than the sum of its proper divisors (793287644447844).

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

234020132646300 is a wasteful number, since it uses less digits than its factorization.

234020132646300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 234020132646300 its reverse (3646231020432), we get a palindrome (237666363666732).

It can be divided in two parts, 234020132 and 646300, that added together give a palindrome (234666432).

The spelling of 234020132646300 in words is "two hundred thirty-four trillion, twenty billion, one hundred thirty-two million, six hundred forty-six thousand, three hundred".