23434234400320 has 28 divisors (see below), whose sum is σ = 55802770666524. Its totient is φ = 9373693760000.

The previous prime is 23434234400293. The next prime is 23434234400371. The reversal of 23434234400320 is 2300443243432.

It can be written as a sum of positive squares in 2 ways, for example, as 12670638253056 + 10763596147264 = 3559584^2 + 3280792^2 .

It is a super-2 number, since 2×23434234400320² (a number of 28 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 36615990931 + ... + 36615991570.

It is an arithmetic number, because the mean of its divisors is an integer number (1992956095233).

Almost surely, 2^{23434234400320} is an apocalyptic number.

23434234400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434234400320 is an abundant number, since it is smaller than the sum of its proper divisors (32368536266204).

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

23434234400320 is an equidigital number, since it uses as much as digits as its factorization.

23434234400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73231982518 (or 73231982508 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 23434234400320 its reverse (2300443243432), we get a palindrome (25734677643752).

The spelling of 23434234400320 in words is "twenty-three trillion, four hundred thirty-four billion, two hundred thirty-four million, four hundred thousand, three hundred twenty".