23345513434320 has 480 divisors, whose sum is σ = 91863351262080. Its totient is φ = 4849788948480.

The previous prime is 23345513434319. The next prime is 23345513434423. The reversal of 23345513434320 is 2343431554332.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 565670646 + ... + 565711914.

It is an arithmetic number, because the mean of its divisors is an integer number (191381981796).

Almost surely, 2^{23345513434320} is an apocalyptic number.

23345513434320 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 23345513434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45931675631040).

23345513434320 is an abundant number, since it is smaller than the sum of its proper divisors (68517837827760).

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

23345513434320 is a wasteful number, since it uses less digits than its factorization.

23345513434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45683 (or 45670 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 23345513434320 its reverse (2343431554332), we get a palindrome (25688944988652).

The spelling of 23345513434320 in words is "twenty-three trillion, three hundred forty-five billion, five hundred thirteen million, four hundred thirty-four thousand, three hundred twenty".