23433486400 has 189 divisors, whose sum is σ = 59703908151. Its totient is φ = 9052538880.

The previous prime is 23433486397. The next prime is 23433486413. The reversal of 23433486400 is 468433432.

The square root of 23433486400 is 153080.

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 4876508224 + 18556978176 = 69832^2 + 136224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23433486400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263297556 + ... + 263297644.

Almost surely, 2^23433486400 is an apocalyptic number.

23433486400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23433486400 is the 153080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23433486400

23433486400 is an abundant number, since it is smaller than the sum of its proper divisors (36270421751).

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

23433486400 is an frugal number, since it uses more digits than its factorization.

23433486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 23433486400 in words is "twenty-three billion, four hundred thirty-three million, four hundred eighty-six thousand, four hundred".