23453680410000 has 375 divisors, whose sum is σ = 84840808495333. Its totient is φ = 6253152480000.

The previous prime is 23453680409981. The next prime is 23453680410007. The reversal of 23453680410000 is 1408635432.

The square root of 23453680410000 is 4842900.

It is a perfect power (a square), and thus also a powerful number.

23453680410000 is a `hidden beast` number, since 2 + 3 + 4 + 536 + 80 + 41 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 21088925383824 + 2364755026176 = 4592268^2 + 1537776^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23453680410007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4358607310 + ... + 4358612690.

Almost surely, 2^{23453680410000} is an apocalyptic number.

23453680410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23453680410000 is the 4842900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23453680410000

23453680410000 is an abundant number, since it is smaller than the sum of its proper divisors (61387128085333).

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

23453680410000 is an frugal number, since it uses more digits than its factorization.

23453680410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 23453680410000 by its sum of digits (36), we get a square (844332494760000 = 29057400²).

23453680410000 divided by its sum of digits (36) gives a square (651491122500 = 807150²).

The spelling of 23453680410000 in words is "twenty-three trillion, four hundred fifty-three billion, six hundred eighty million, four hundred ten thousand".