23243246400 has 336 divisors, whose sum is σ = 83814635520. Its totient is φ = 5592422400.

The previous prime is 23243246399. The next prime is 23243246401. The reversal of 23243246400 is 464234232.

It is an interprime number because it is at equal distance from previous prime (23243246399) and next prime (23243246401).

It is a super-2 number, since 2×23243246400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23243246401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7337617 + ... + 7340783.

It is an arithmetic number, because the mean of its divisors is an integer number (249448320).

Almost surely, 2^23243246400 is an apocalyptic number.

23243246400 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 23243246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41907317760).

23243246400 is an abundant number, since it is smaller than the sum of its proper divisors (60571389120).

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

23243246400 is a wasteful number, since it uses less digits than its factorization.

23243246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The spelling of 23243246400 in words is "twenty-three billion, two hundred forty-three million, two hundred forty-six thousand, four hundred".