23348309953680 has 960 divisors, whose sum is σ = 82563078124800. Its totient is φ = 5908267008000.

The previous prime is 23348309953669. The next prime is 23348309953747. The reversal of 23348309953680 is 8635990384332.

23348309953680 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 8 + 3 + 0 + 99 + 536 + 8 + 0 = 666.

It is a super-3 number, since 3×23348309953680³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52000690096 + ... + 52000690544.

It is an arithmetic number, because the mean of its divisors is an integer number (86003206380).

Almost surely, 2^{23348309953680} is an apocalyptic number.

23348309953680 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 23348309953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41281539062400).

23348309953680 is an abundant number, since it is smaller than the sum of its proper divisors (59214768171120).

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

23348309953680 is a wasteful number, since it uses less digits than its factorization.

23348309953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 23348309953680 in words is "twenty-three trillion, three hundred forty-eight billion, three hundred nine million, nine hundred fifty-three thousand, six hundred eighty".