23386122246400 has 81 divisors (see below), whose sum is σ = 57885264229891. Its totient is φ = 9354294149120.

The previous prime is 23386122246373. The next prime is 23386122246437. The reversal of 23386122246400 is 464222168332.

It is a happy number.

The square root of 23386122246400 is 4835920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7411200411904 + 15974921834496 = 2722352^2 + 3996864^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 386843376 + ... + 386903824.

Almost surely, 2^{23386122246400} is an apocalyptic number.

23386122246400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23386122246400 is the 4835920-th square number.

It is an amenable number.

23386122246400 is an abundant number, since it is smaller than the sum of its proper divisors (34499141983491).

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

23386122246400 is an frugal number, since it uses more digits than its factorization.

23386122246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120924 (or 60456 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 23386122246400 in words is "twenty-three trillion, three hundred eighty-six billion, one hundred twenty-two million, two hundred forty-six thousand, four hundred".