23455345314400 has 144 divisors (see below), whose sum is σ = 59282884402560. Its totient is φ = 9052543180800.

The previous prime is 23455345314383. The next prime is 23455345314409. The reversal of 23455345314400 is 441354355432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23455345314409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6954366 + ... + 9760834.

It is an arithmetic number, because the mean of its divisors is an integer number (411686697240).

Almost surely, 2^{23455345314400} is an apocalyptic number.

23455345314400 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 23455345314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29641442201280).

23455345314400 is an abundant number, since it is smaller than the sum of its proper divisors (35827539088160).

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

23455345314400 is a wasteful number, since it uses less digits than its factorization.

23455345314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806857 (or 2806844 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 43.

Adding to 23455345314400 its reverse (441354355432), we get a palindrome (23896699669832).

The spelling of 23455345314400 in words is "twenty-three trillion, four hundred fifty-five billion, three hundred forty-five million, three hundred fourteen thousand, four hundred".