23845536400 has 135 divisors (see below), whose sum is σ = 66702665001. Its totient is φ = 8168200320.

The previous prime is 23845536397. The next prime is 23845536479. The reversal of 23845536400 is 463554832.

The square root of 23845536400 is 154420.

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

It can be written as a sum of positive squares in only one way, i.e., 8584393104 + 15261143296 = 92652^2 + 123536^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21618249 + ... + 21619351.

Almost surely, 2^23845536400 is an apocalyptic number.

23845536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23845536400 is the 154420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23845536400

23845536400 is an abundant number, since it is smaller than the sum of its proper divisors (42857128601).

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

23845536400 is an equidigital number, since it uses as much as digits as its factorization.

23845536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 23845536400 in words is "twenty-three billion, eight hundred forty-five million, five hundred thirty-six thousand, four hundred".