23452354800 has 720 divisors, whose sum is σ = 99419493888. Its totient is φ = 5002905600.

The previous prime is 23452354789. The next prime is 23452354837. The reversal of 23452354800 is 845325432.

23452354800 is a `hidden beast` number, since 2 + 3 + 4 + 523 + 54 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 24922330 + ... + 24923270.

Almost surely, 2^23452354800 is an apocalyptic number.

23452354800 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 23452354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49709746944).

23452354800 is an abundant number, since it is smaller than the sum of its proper divisors (75967139088).

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

23452354800 is a wasteful number, since it uses less digits than its factorization.

23452354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 23452354800 in words is "twenty-three billion, four hundred fifty-two million, three hundred fifty-four thousand, eight hundred".