23464112400 has 675 divisors, whose sum is σ = 90474873951. Its totient is φ = 5823290880.

The previous prime is 23464112393. The next prime is 23464112401. The reversal of 23464112400 is 421146432.

It is a happy number.

The square root of 23464112400 is 153180.

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

23464112400 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 411 + 240 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2227462416 + 21236649984 = 47196^2 + 145728^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23464112401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 634165182 + ... + 634165218.

Almost surely, 2^23464112400 is an apocalyptic number.

23464112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23464112400 is the 153180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23464112400

23464112400 is an abundant number, since it is smaller than the sum of its proper divisors (67010761551).

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

23464112400 is a wasteful number, since it uses less digits than its factorization.

23464112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23464112400 its reverse (421146432), we get a palindrome (23885258832).

The spelling of 23464112400 in words is "twenty-three billion, four hundred sixty-four million, one hundred twelve thousand, four hundred".